QUESTION 2 Calculate the following limit: lim (x² – 3x – 10)(*-5) X-5+ QUESTION 3 6

Q: Find the indicated one sided limit. lim x->1+ (x+7/x+1)

A: To evaluate the required one-sided limit

Q: 7ーズ 1. Find lim using a. Table of values f(x) b. Limit rules

A:

Q: Find the one-sided limit (if it exists).

A: We will find the limit numerically  Let, x y -0.1 -5.0000025 -0.01 -50 -0.001 -500…

Q: Question 1 Does (x – 1)? lim (2,1)¬(1,3) (x – 1)* + (y – 3)² - - exist? If it does, evaluate the…

A:

Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: The value of the limit lim x42x-3 メー)1 X-イ

A:

Q: Find the one-sided limit (if it exists).

A: Given: Find the one-sided limit (if it exists).

Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: Evalate the limit 6. lim (e + x)²/x

A:

Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: Find the limit. lim sech(x) X -0

A: To find limit: limx→-∞sechx Solution: We know that sechx=2ex+e-x Therefore,…

Q: x² – 1 lim x→1 x – 1

A:

Q: Find the limit. lim 1- x-0

A:

Q: Verify the limits in a given equation below. (2х-4)2 lim X→3 x+1

A:

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: The value of the limit x42x-3 lim メー)イ X-イ

A: Given : limx→1x2+2x-3x-1

Q: Question 3 Evaluate the limit. Hint: Factor and enter decimal answer. x + 3 x-3 x² + 8x + 15 lim

A:

Q: Question 1 Use the graph to evaluate the limit. lim f(x) x+1 O 00 O -1

A: From the above given graph  Lim x--> -1 f(x) = -1/2

Q: lim 1-3メ) 2. X->

A:

Q: Question 4 Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary…

A: We need to evaluate limit.

Q: Find the value of the limit: 3 tan(4x)– 12x lim

A: From the given problem:   limx→03tan4x-12xx3   This problem can be solved by the series expansion of…

Q: Question 1 Evaluate the following limits: lim x-3 (x³+4x-13) lim x →-6 lim x²-36 x+6 2x² + 3x³ - 2x²…

A: Use l hospital rule

Q: Use a table of values (on your calculator) to estimate the value of the limit to at least 2 decimal…

A: Given, limx→1x2+4x-5x-1 Using table of values,  we have to estimate the value of the limit at least…

Q: Find the limit using table: 1-cosx lim- X-0 x -0.1 -0.01 -0.001 0.001 0.01 0.1

A:

Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: Find the limit.

A: The limit of a function limx→Xfx=Y means that the value of function fx can be as close to Y by…

Q: Find the limits lim tan-x X-

A: Solution: consider the given limit function; limx→-∞tan-1x Let  tan-1x = y⇒tan y = x when x → -∞…

Q: QUESTION 2 Prove using the definition of a limit that lim x² + y2 -y = 4. >

A:

Q: Find the one-sided limit (if it exists).

A: Given :                       f(x) = limx→2- 1x2-43

Q: V9x² + 1 lim x +1

A: Given : limx→∞9x2+1x+1

Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

Q: Find the limit. sin(x - 5) lim x* + 4x - 45

A: Given : limx→5sinx-5x2+4x-45

Q: find the one-sided limit ( if it exists)

A: The given limit is,

Q: Find the specified limit. x',x -1 lim f(x) - ? 2. Find the limit (if any) Jx-5 lim x-25 x- 25

A:

Q: Find the limit. Vx +7-4 lim X-3 X-3

A: limx→3 x2+7-4x-3

Q: Find the one-sided limit (if it exists).

A:

Q: Find the limit. lim ( 7 csc x -

A:

Q: 4) Find the value of each limit: х* + х —6 а. lim х-я х — 2х-15 x→1 | Vx – 1 lim х—1 х — 1 b.

A: The limit of a function is the value of the function when the arguement of the function tends to a…

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Question 5- Evaluate the limit. V-1 lim l Vx-1

A: Given: limx→1x3-1x-1

Q: Compute the indicated limit. „2 x + 3 lim x00 x - 4

A:

Q: —ах+6 if x2-1 Let f(x)=< For what value of a does 2x2 +ах ifx<-1 lim f(x) exist? x--1

A:

Q: 1. Find each limit, if it exists. x3+8 а) lim X--2 3x2+4x-4 Vx+4 b) lim X-5 x-3 c) lim *+81)i-3…

A: As per guideline we have to solve only three subpart

Q: Find the limit. lim 7 sin(x)

A:

Q: Find the shown limit.

A: To Determine:  find the limit. Given: we have limx→511x-3x2+1 Explanation: we have a limit…

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true