QUESTION 1 he value of (a + 2)(a – 2)(* – 5) lim 2 * - 2 -10 O 30 O -12 O -7 O -8 O 15 O None of the other options.

Q: . lim (x* – 2x³)* 2. lim (3x³ + 4x² – 3) x-1 X-3 inal nswer: Final Answer: 3x2 + 2x – 1 (x + 4)? lim…

A: 1. Given the limit: limx→-1x4-2x34 Here the limit value is defined when x approaches -1. Find the…

Q: 12. lim [(x 5) - 3x] isOHOAHOH 3OH2 UA a. lim (x 5) + lim 3x IROCORO b. lim (x- C. X-5- lim 3x X-a -…

A: 12 limx→a[(x-5)-3x] =limx→a(x-5)-limx→a3x        [Difference property of logarithm]       Thus,…

Q: lim ao lim a1 = 0, %3D n-00 n-00 -2p lim Bo lim Bi n-00 -2p lim yi = lim yo = n→00 lim 8o = lim 81…

A: Given,                                       en+12=∑γii=11en-i1+∑δii=11en-i1where…

Q: 22-4 The value of lim is x-2 x2+4 O 1 O -1/2 -1

A: Limit of the given function can be computed directly as the function doesnt have any discontinuity…

Q: Question 4 -3/2 :) Find k' (x) if k(x) = e* 2/3 - 3 Provide your answer below:

A:

Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3.

Q: Question 3. (a) Prove that 0 п(п-1)(п-2) for each n E N. [Hint: You may wish to use the function 6…

A:

Q: b) lim

A:

Q: 15r +-1 If lim 190 br+7x-8 <-5, then (A) m-4 and 6- 15 (B) m = 4 and 6=3 (C) m=5 and b=4 (D) m =3…

A:

Q: 21. lim +0.5, ±0.1, ±0.01, ±0.001, ±0.000E

A:

Q: Find the limit

A:

Q: Question 4 2 i (z-i) lim z?+1 1 O 2i

A: 1 Just use L'Hospitals rule.

Q: Challenge Question 31) If m a,n a and a? = (m/n-F. then show that xyz = 1.

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: Question 3 Suppose f(x) and f'(x) have the values shown in the table below: 1 2 3 4. f(x) -1 -3 -1 1…

A: The table having values of f(x) and f'(x) is given by To evaluate : ddxf(x)5  at x=0

Q: Formula A. 1 1 x + 1! 1 4 x° + 4! 1 et x° + 6! %3D x° + 0! 2! 3! 5! (1) An alternative way to write…

A: Lets start with series

Q: Problem Set B 2 x +x-5 (1) Find lim 3 x→> 1-2x-x

A:

Q: 16. lim, (1+) =c, then lim, (1 + =? A. 2e B C.eD. e В. X→8∞

A:

Q: 24. lim (Vi-1,,1).

A:

Q: Question 9 Evaluate: lim 0 2x 222. None of the choices 1 2 0 -1 +x

A:

Q: Question 3 If f(x) = 5 find f'(1). Express your answer as an integer, or as a fraction in lowest…

A: Given fx=exx The derivative can be found using quotient rule. f'x=x.ex-ex.1x2       =exx-1x2

Q: Question 7 of 10 Evaluate lim 2-2 0 x-2 5x-2-√√/2x+4 / Ə

A:

Q: Question 22 dy =2x - 3 and y=2 when *=3. What is the value of y when *=4? dr Suppose - - Write the…

A: In this question we have to find the value of y when x=4.

Q: Determining limits analytically Determine the following limitsor state that they do not exist.

A: To Determine: find the limits  Given: we have                     a)…

Q: * PROBLEM 3 Vx-4 3 lim x→13 \13-x Evaluate analytically the х-13)

A: Given:

Q: lim ( = ) (-1)" n+5 O 1 O -1 O -2 O 2

A: We have to find limn→∞-1nn+5

Q: a) lim

A: We know that 1/∞ =0

Q: Зx2-17х + 20 lim х—44х2 — 25х -36 А. — 1 is - 1 В. — 2 С. 2 D. 1

A: We have to solve

Q: 31. lim -6 r+2 a. -7.5 C.- d. b. 7.5 32 Um U+4)/2) + 5 b. 23.21 C. -23.22 d. 23.22 a.-23.21 33. lim…

A:

Q: 3( 1 x-0 x5+x 5-x А. -6/25 В. 625 C. -2/5 D. does not exist lim

A: we have to evaluate the limit

Q: Question 5 (Show your work!) Find the coefficients of 2. r* in (r2 - (1/x))". |

A: (x²-(1/x))^n

Q: Question 13 of 18 > Find a general formula for f(n). f(x) 3x2e* (Use symbolic notation and fractions…

A: First we find few derivatives of f(x)

Q: Gal Evalunte the fallowing: O lim 1 +31-10 1-5

A:

Q: Questions 15 - 16: The table below gives selected values of a twice-differentiable function f(x). -7…

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Q: 1-e* lim *0+ 2x2 -00 00 O None of these 1 O O O O

A: The given expression is limx→0+1-e-x2x2.

Q: Part 1 of 2 1. (q o p)(x) = 2 x* - 3x + 2 Part: 1/2 Part 2 of 2 The domain of (g o p) (x) in…

A:

Q: Question 21 2 Suppose f (x): If Зх — 5 x=AV 3x – 5 +C, for constants A and C, what is the value of…

A: Given that        f(x) = 2/√(3x-5) .

Q: Question 6 x4 – 16 The lim x+2 x3 -8 can be transformed to (x2 + 4)(x + 2) (A lim x+2 x2 - 4x+4 (x2…

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Q: QUESTION 1 9dz 9dz The infinity in the can be eliminated by lim J2 (1- 32)4 t+ o'2 (1-3z)4 True…

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Q: QUESTION 4 The graph below corresponds to which of the following o f(x) = (x+5)² c(x) = (x³ + 6) –1…

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Q: 4. lim, ) = A. 0 B. I C. 2 D. co (3x2. 5. lim,o ()- A. 0 B. 3 CD. co 2x2 2x2+10x-80 6. lim,-00 A.…

A:

Q: Question 3 Given h(x) = (-x² - 2x - 2)³, find h' (0).

A:

Q: Question 10: x* +x° +a* + a", for some fixed a>0 and *>0

A: Let y=xx+xa+ax+aaAlso,let xx=u, xa=v, ax=w and aa=sHence,y=u+v+w+sdydx=dudx+dvdx+dwdx+dsdx…

Q: Question 10 The equation x 3 +4x 2 -10 = 0 has a unique root in [1, 2]. There are many ways to…

A: please refer to the image below

Q: Question 1 Given f (x) =x2+2x – 1 and bracket of 0, 1. Find the value of c that satisfies its…

A: Topic = Derivative   The Mean Value Theorem states that if a function f is continuous on the closed…

Q: (2? + 10) /ª. Find lim 1/3 I+ -3 1/3 lim Z + -3 g(?² + 16)/ .

A: find the limit

Q: a3 – o lim a а 1 а2 — 1 - 1

A: Here I am attaching image so that you understand each and every step.

Q: The pre-image in red has been transformed to the image in green. Select the equations for both…

A:

Q: 6. 6. lim t-0\tV1 + t t.

A:

Q: Question 3 5" + 4" 2021- 5" lim n 00 T

A: we have to find the limit of the given expression

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.