Let lim f(x) = -1 and lim g(x) = 6. Find lim x--1 [-10f(x3) – 4g(x) 3+ g(x) x--1 x--1 6.0 O -1 34 14 2/359

Q: 3. If lim f(x) = 5 and lim f(x) = 5, what can you say about x1 X1+ lim f(x)? What can you say about…

A: Definition used -       Limit of a function -       The limit of a function at point x=a…

Q: 4-x V6-5x+x f(x) = 1- find the domain 2- find lim f(x), lim f(x), lim f(x) x2 x-2 x-+2

A: givenf(x)=4-x2x2-5x+6solving x2-5x+6 by factorization method=x2-2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)and…

Q: Find lim h(x) and lim h(x) and lim h(x) 1--2 1 I+2 x > 3

A: To find : Limits of the function h(x)

Q: Find the one-sided limits of f (x). - 2x + 7 if x < -3 f(x) x + 4 x + 3 %3D if x 2 -3 Step 2 of 2:…

A:

Q: f(x) – 3 If lim = 1, find lim f(x). X- 2 X→7 x→7

A:

Q: 1 a. lim X-0* X

A: Given: limx→0+1x4

Q: QI/ Find the following 1- x - 2 lim x--2 x2 - 4 lim (5 + lim (5+) 0-ズ 3- 2x2 +3x lim x0 5x2-2x 2-

A: 1)         1) limx→2x-2x2-4            = limx→2x-2x-2x+2           = limx→21x+2           =…

Q: 4) Let lim f(x) = 7, and lim g(x) = 6. Find lim 37) g(x)

A:

Q: Evaluate lim f(x), where f(x) = e value of "p" assuming that lim f(x) exists. Nx + (M + 77) if x<5…

A:

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O…

A:

Q: 4. Is it possible that there exists some function g(x) and some constant L such that lim g(x) = lim…

A: First we need to understand definition of limit:

Q: Find the limit, if it exists. (x² – 16 if x>0 Let f(x) =x2 -16 if x<0 x- 4 Find lim f(x). x-0- 00 -4…

A:

Q: If lim f(x) = lim h(x) = 4, find lim g(x) when f(x)sg(x)Sh(x) for all values of x. X-3 X-3 x-3 lim…

A: Use sandwich theorem

Q: If lim f(x) = 19 and lim g(x) = 23 then x5 x5 lim (3 f(x)9(x) – 5] = x5 O 38 O 1311 O 172 O 1306 O…

A: Given:       limx→5f(x)=19      limx→5g(x)=23   then  limx→53f(x)g(x)-5 is…

Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: f(x) - If lim x--2 x 1, find %3D lim f(x) f(x) b. lim X--2 а. X--2

A: Given, the limit is                   We have to answer the given questions.

Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

A:

Q: (e) limVx ) lim -+(-1)") X-00 n→0 n n²-12345 x2 +9 (g) lim n +1 (h) lim x∞x3 +1

A:

Q: Discuss the continuity of the function.

A:

Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: a. Evaluate limx→5 f(x), where f(x) = { 11x+ (2 +77) Ef x5 f(x) exists.

A: solution is given below..

Q: Show that if lim f(x) = lim h(x) = 3, and if f(x) ≤ g(x) ≤h(x) for 2-0 x-0 all z € (-1,1), then lim…

A: Given that limx→0fx=limx→0hx=3 and fx≤gx≤hx for all x∈−1,1. We have to prove that limx→0gx=3.…

Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: 4. Suppose that lim (x) = 1 and lim g(x) = 2 then find g(x)– 4 f(x) the value of [f(x)} +3g(x) lim…

A:

Q: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: Suppose that a function f(x) is defined for all real values of x except at r = c. Does it imply the…

A: Here we have to check whether the limit exists or not.

Q: If f(x) < x² for all æ E R and lim f(x) exists, then what can be concluded about lim f(x)? a. lim…

A: we have to find the following

Q: Given a function f:R → R with f(x) = x - 1, for x rational and f(x) = 5 - x, for x irrational Prove…

A:

Q: Q1/ Find the following 1. lim x2 + 1 = 2 x00 (x-2)2 2. lim x-2 (x-2)(x+2) 3. lim (5 -) x-0

A:

Q: [3 3. Consider f (x) =- 2х - 3 if x< 0 Find lim f(x) if x20.

A: To determine the limit of the function.

Q: If 2x+2 ≤ f(x) ≤ x2 +2x+2, for all x, then find lim f(x) x-> 0

A: Given

Q: a. Evaluate lim f (x) , where f(x) = {Nx + (M + 77) if x< 5 if x25 "p" is any constant and also find…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: 1/x, if x – 1 С. 1/x, if x – 1[ %3D X- -1

A: c) f(x) = 1/xx≤-1x2-2x&gt;-1limx→0f(x) = limx→0(x2-2) = 02-2 = 0-2 = -2

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ&gt;0, there exists a…

Q: Find the limit L. Vx - 3 1 lim X 4 X- 4 L =

A: After the substitution of limits the function gives an indeterminate form 00.

Q: x² - 225 = 30 Give an ɛ-ô proof of lim X- 15 X→15

A:

Q: a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x)…

A: alimx→∞−x2+5x3x2+x+1Divide and multiply by x2limx→∞x2−x2+5xx2x23x2+x+1x2limx→∞−1+5x3+1x+1x2=−13

Q: Evaluate the limit given

A: Given:

Q: Use the limit properties to find the following limit.

A: Given that, limx→3fx=3      ...(1)limx→3gx=2      ...(2)

Q: x² + 1 x – 1' if x -1 | бх — 4 3x² + 4x 1 O Evaluate: lim x2/3 + Зх + 2 4

A:

Q: f(x) – 5 - a. If lim 3, find lim f(x). х>2 х — 2 - 2 x→2 f(x) – 5 b. If lim x→2 X – 2 4, find lim…

A:

Q: Evaluate lim 7(&+h)-}(x) for the given value of x and function f. h h→0 f(x)= +7, x= 10

A: We have to find the limit

Q: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: 1. Find a) lim b) lim x→3* 3-x c) lim=-, d) the vertical asymptote of f(x)=- x→33-x 3-x

A:

Q: Given that lim f(x) = 4 X-3 lim g(x) = -5 X-3 lim h(x) = 0, X-3

A:

Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Evaluate the limit given

A:

Q: Given the function: f(x)=(x^2-2 where, x/=4). Calculate: lim x-4^+f(x)

A:

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

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.