I - x, x < 1 | 44. lim g(x), where g(x) x→1+ x + 1, x > 1

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: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

Q: Because of their connection with secant​ lines, tangents, and instantaneous​ rates, limits of the…

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Q: ( 2x + 6 x -2 Enter DNE if the limit does not exist. a) lim g(x) = X--2 b) lim g(x) = X--2* c) lim…

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Q: I. Find the limit of the algebraic functions if it exists. Show your solution analytically. 1.…

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Q: L'Hopitals Rule 1. lim of x^(5/x) as x approaches infinity

A: Let y=x^(5/x)Take ln on both sides and simplifythen take limit x-&gt; infinity on both sides

Q: X - iy Discuss the limit Lim I+0 X-1y y-0

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Q: The process by which we determine limits of rational functions appliesequally well to ratios…

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Q: 1. Find the intervals on which f (x) = Vx² – 9 is continuous. 2x 2. Either find lim ( -) or use a…

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Q: x²-4 How come lim x-2 x-2 cannot be evaluated using the quotient limit law? How come lim Vx – 2…

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Q: (a)Find the equation of the tangent line to the curve f(x)=6x^2-5x+3 at the point where x=2. (Use…

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Q: 1.1 Explain the difference between an accumulation point and a limit. 1.2 If lim a, = x and lim yn =…

A: Solution a: Difference between Accumulation point and Limit point: Since accumulation point is the…

Q: Lim as h approaches 0=[5e^x - 5e^(x+h)]/[3h]=

A: Given:  limh→0 5ex-5ex+h3h   Basic concept: The definition of the first principle of the…

Q: 1. True or false. (a) For a differentiable function f, f'(x) gives the slope of the tangent line at…

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: a) lim f (x) : d) lim f(x) : x-4 x--3 b) lim_f(x)= e) VA: x--3- c) lim f(x) = f) f (x) has…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: lim f(-2 + h) – f(-2) h-0 h where f(x) = -2x² + 2. If the limit does not exist enter DNE. Limit =

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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: The limit of the function lim x → − 2 ( 2 − | x |/ 2 + x )

A: Here we have to find the value of limit limx→-222-x2+x

Q: Given that: lim f(x) = 5 x-2 lim f(x) = -5 x--3 lim g(x) = -1 x--2 lim g(x) = -10 x--3 Apply the…

A: To find limx→-38fx+9gx

Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: (a) lim 47:17 Sx 3x-14 1. Find the limit:

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Q: H-w in limits 3-3- 2.21 9 iaam ) Lim. 1- CosC2K) Sin (24) 2 - メャ3 2) Lim x2x -3 3) Lim (X+4}-16

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Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete…

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Q: x°- a Calculate the limit lim using the following factorization formula where n is a positive…

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Q: Using: lim f(x) = 4 and lim g(æ) = 8, evaluate f(x) + g(x) 6f(x) lim Answer: Enter DNE if the limit…

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Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: f(-4 + h) – f(-4) lim h-0 h where f(x) = 3x² +2. If the limit does not exist enter DNE.

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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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Q: Q.No.4 Let 1 x 3 Find the following limits lim f(x) X--2 lim f(x) X-0 lim f(x) x-3 And, also discuss…

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Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

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Q: lim h(x) = 0, lim f(x) = –4, lim g(x)= – 10. xa Xa Find following limits if they exist. Enter DNE if…

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Q: Hon of the Squeeze Theorem) on the same screen. 37. If 4x-9 ((x) x* - 4x + 7 for x> 0, find lim f(x

A: Given: If 4x-9≤f(x)≤x2-4x+7 for x≥0. find limx→4f(x)

Q: 1. If limit of f(x) -8/x-1=10 as x approaches 1, find limit of f(x) approaches 1

A: As per the company guidelines we are supposed to answer nly first question.Kindly repost the other…

Q: 10)Guess the values of the limit (if it exists) by evaluating the function at the given numbers (…

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Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

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Q: 1 + x +1 1 h 4 -2 (a) Lim–1 (b) Lim h→0 V5h + 4 – 2 X-0 X 5 t3 – 1 (c) Lim- = 3. t→1 t-1

A: (a) We take L.C.M. in the numerator and cancel the common terms in numerator and denominator. Then…

Q: in this problem we show that tne function 4x2 – y f(x, y) x2 + Y does not have a limit as (x, y) →…

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Q: Hi, I need help with this equation, step-by-step please.  Find the limit of the problem…

A: Given,

Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

A: Substitute f(x) in the limit formula

Q: x -1 ifx1 (a) Find lim f(x) if it exists. If it doesn't exist, explain why. (b) Find lim f(x) if it…

A: Given query is to find indicated limits.

Q: (x +2x =-6x if xS-2 if x>-2 A) Check the continuity of the function s(x) at x = -2 S(x) = ++ B)…

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Q: [3-x x 2 a) Find lim X-2+ f(x) and lim X-2 f(x) b)Dose lim f(x) X-2 exist ? why?

A: We use the definition of the existence of two sided limit to answer the question.

Q: f(4) = f(0) = f(-3) = lim,-2+ f(x) =, limx-2- f (x) = lim,-3+ f(x) = limy-3- f (x) = = limy-4 f(x) =…

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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: Can I get help with this question step by step?

A: The given expression is:

Q: A function y = f(x) is defined and continuous for all x. This function satisfies all of the…

A: Given that the function  y=fx is defined and continuous for all x. Solution (a): According to the…

Q: -x + 1,x 2 0 Let f(x) = {x² + sin x -,x <0' (a) Find left-hand and right-hand limits as "x"…

A: Consider the given information:

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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