x3 -1 If g(x) = function, then g(x) at x = 1 x2 -1 continuous limit is exist continuous Extension g(1) is defined

Q: نقطة واحدة If a function is continuous .7 at a point, then its first * derivative may or may not…

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Q: 4 x- x2 if x 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

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Q: 1. Express the limit as a definite integral of a function on certain interval and compute the…

A: using the particular form  1n∑r=1r=nfrn=∫01fxdx   and to find the  the derivatiove of function under…

Q: 5. simple limit of positive definite function is also positive definite function. p(x) = lim ,(x)

A: Solution :-

Q: I- 7 if x Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = %3D

A: Please refer the attached image for complete solution.

Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: A Discontinuous Derivative Use the limit definition to show that g'(0) exists but gʻ(0) # lim g'(x),…

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Q: 8 - x2 if a 1 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

A: Find limit by putting value

Q: A piecewise function is given (attached). Use properties of limit to find the indicated shown limit,…

A: Given: f(x)=x+5if x<1x+7if x≥1 To determine: limx→1- f(x)

Q: lim X-0 f(x) = 2-xx ²0 x+2, x>0

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Q: 1.) lim(x – 2) x-7 limit from the left f(x) limit from the right f(x) 6. 6.5 8. 7.5 6.99 7.1 6.9999…

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Q: 10-x-x² if x 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x-3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: 2.x2 – 3 x 1 Enter DNE if the limit does not exist. a) lim f(x)= r--1- -) lim f(x) = 2+-1+ -) lim…

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Q: Question For the function (1-z if z 1' evaluate the limit lim f(x). (If a limit does not exist,…

A: solution:-f(x)=1-x ,       if x≤1-x2+x ,   if x>1left hand side limit at…

Q: (2 - x - x2 if a 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: Given : fx=2-x-x2  if x≤22x-9       if x>2 To calculate: limx→2-fx limx→2+fx limx→2fx

Q: -0.8x – 3.4, x -3 f(x) = X = -3 A. f(x) is continuous at x = -3. B. f(x) is not continuous at is x…

A: The function  is continuous at any point a if and only if the following conditions will satisfied,…

Q: 3.) lim f (x); f (x) ={-4+ x, x> 3 x-3 limit from the left f(x) limit from the right f(x) 4 2.9 3.5…

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Q: 3. Let f(x) and let a>0. Using the definition of the derivative 2+Va as a limit, find f'(a). Your…

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Q: V-5 – x + 5 if x 6 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: Limit of a linear function Prove that lim 14x xS4 1 using the pre- 152 cise definition of a limit.

A: Given: The given function is fx=4x-15   To find: we have to find the limit of the function

Q: 3+ x if x < – 1 Let f(x) ={ x² if –1sx<1 2- x if x 21 a) Evaluate (i) lim f(x); (ii) lim f(x); (iii)…

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Q: (2 - a - a2 if a 3 Calculate the following limits. Enter "DNE" if the limit does not exist. - lim…

A: Find right hand limit and left hand limit, then check these are equal or not.

Q: 9. if a – 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

A: For the limit to exist, it should be unique and finite both. That is, left hand limit must be equal…

Q: (x – 2)(x + 1) if x 2 Calculate the limit lim f(x). If the limit does not exist then give a x→2…

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Q: V-2 – x + 2, if x -3 Calculate the following limits. Enter DNE if the limit does not exist. lim…

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Q: Ise limit notation to describe the unbounded behavior of the given function as x approaches oo and…

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Q: 2x - 6 Let f(x) = if x 5 -4x+ 20 Find the following limits: 1. lim f(x) = x-5 2. lim f(x) = x-0…

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Q: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: If f and g are continuous functions with f(5) = 2 and, lim[2f(z) - g(x)] =5 I5 find g(5)

A: Given: - f and g are continuous functions with f(5)=2 and limx→52f(x)-g(x)=5 We have to find g(5)=?

Q: 6- x- x2 if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: (6x -1 x² +8 having limit atx = k. Find the value of k. x> k) D: If the function f(x) = %3D

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Q: 1. (a) Evaluate the limit or state that it does not exist: i. lim 32-1 37-1 ii. lim V1+r-VI-x (b)…

A: The limits are required to be solved. Each part is solved in detail below.

Q: evaluate the limit x-> infinity of ((x-1)/(x+1))^3x

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Q: 3x²+2x-3 limit 3 prove that with the help 2x2+1 2 of the limit definition.on (Epsilon, de lta E,S…

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Q: (- 2- z) + 3 if a + – 3 Let f(x) = 2x + 9 if x = – 3 Calculate the following limits. Enter "DNE" if…

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Q: ( 10 – x - x2 if a 5 Calculate the following limits. Enter "DNE" if the limit does not exist. } lim…

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Q: x3-1 Use L'Hôpital's Rule to find the limit: lim x-1 4x3-x-3

A: L'Hopital's Rule- If given to evaluate limx→afxgx and if limx→afx=0 and limx→agx=0 or limx→afx=±∞…

Q: A function has a left-hand limit if f(x) approaches L as x approaches a where xa. The two sided…

A: Please see the solution below.

Q: Question For the-function if a <-1 2x2-r-1 if a 2-1' -2- 1 f(x) = evaluate the limit lim f(x). Z-1…

A: Topic = Limits As per guidelines , At a time only one question can be answered. please repost fot…

Q: х — 1 if x > 2 x2 – x – 2 (1) If f (x) = V2 +x – 1 if x < 2 X - 1 Find each of the limits if it…

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Q: lim 1- 4.x 7 +- 3. Compute the limit: x→

A: The given limit is of the indeterminate form 1∞ . To solve the intermediate form of 1∞.…

Q: 4-x lim x-4 5- Vx2+9 a) Evaluate the limit x2+3x+2 b) Discuss the continuity of the function f(x)%3D…

A: We have to find Limit of given rational function and discontinuities of given rational function.

Q: if x 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x→ - 3-…

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x - 3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: 1. Shows that the function f(x): x2+2 Lis continuous at x = 0, but has jump discontinuity at x-3 x=…

A: 1. f(x)=x2+2x-32. f(x)=x2-9x-33. limx→-12x2-ax-14x2-2x-34. f(x)=x2-xx-1

Q: 13. |z| lim -1 -0.5 -0.01 -0.0001 f(z) 1. 0.5 0.01 0.0001 f(x) What is the value of the value of…

A: Topic- limit

Q: 2. a). Determine the interval (s) on which f(x) = 1 is continuous. b). Find lim analytically (use…

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Q: (x – 2)(x+ 1) | if x 2 Calculate the limit lim f(x). If the limit does not exist then give a x→2…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.