4. Use the following function, f(x), to find lim f(x). Remember to show your work. 3x² – 4 x< 2 f(x) = f(x): e-2 + 8x x> 2

Q: If V 16x <f(x)sx+4 for all positive x-values, then what is lim f(x)?

A:

Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

A:

Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 х2-х-2 1-Vx 2. limx→1 1-x 2х 3.…

A: Part 1,Given,           limx→-1x+1x2-x-2

Q: Consider the piece -wise function h): = (x)4 x²-2x +3 for x 2 Find lim hx) Find is h«) Contiouous?…

A:

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: Verify the limits in a given equation below. (x+h)²-h² lim X→0

A: Verify itx→0lim(x+h)2-h2x

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given,          limx→25x4+2gx=∞

Q: 3x + 5x – 12 Jx +1-1 e) lim f) lim X+3

A: limit values=?

Q: 6. Use the graph of the function f(x) = He to discuss the limit lim 40 f (x). 1+e!/x

A:

Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

Q: find the limit of g(x) as x approaches the indicated value.

A: limx→13x2+1gx=∞

Q: Find the limit. lim x→0 x – 1

A: Given that: limx→∞5x-1

Q: For the functionf(x) = |x – 2|, evaluate the left and right limits of f(x) as x approaches 2.…

A: We are asked to evaluate the limit.

Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 x2-x-2 1-Vx 2. limx→1 1-x 2х 3.…

A:

Q: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

A:

Q: find the limit of g(x) as x approaches the indicated value.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: (4) Consider the function + 3bx + 262 if x 1 For which value(s) of b does lim f(x) exist? Justify…

A: Given: fx=x2+3bx+2b2             if x&lt;1 fx=x-1                             if x≥1 limx→1fx…

Q: For f(x) = the square root of 7x+30, how can I find f’(x) using the definition f’(x) = lim as h—>0…

A: Given,          The function is fx=7x+30.We know that,          The derivative of the function is fx…

Q: If 3x s f(x) sx +2 for 0sxs 2, evaluate lim f(x).

A:

Q: 2. lim (e* – 1)lnx X0+

A:

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: Based on the previous item, what is x + 2 lim x→1+ x – 1.

A:

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

A:

Q: Q4)A) Find the following limits (for two only). x+1 1. limy--17-x-2 1-VE 2. limy-1 1-x 2x 3. lim--0…

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1x²-x-2 1-Vx 2. lim x→1 1-x 2x 3. lim…

A:

Q: Use the graph to compute the quantities asked for. y lim, 3 f (x) does not exist -1

A: our objective is to find the limit

Q: 1. Evaluate the following limits: a.) lim,-3 V13- x2 b.) lim . 4 t2 → 2 12.-5t+6

A: The solution is given below:

Q: 2) Suppose that the limit of a function f(x) exists at z = a. If lim f(x) = M and lim f(x) = N, what…

A: Given:- f(x) exists at x=a We have to find the relation between M and N for given limit of a…

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: lim -2)2 x-2 x2-4 3.)

A:

Q: Find the limit. 4) lim (e5/x - 6x)\/2 x-0+

A:

Q: . What is the point discontinuity of the x² – 1 lim x→-1 x +E 1

A:

Q: lim(-3x² – 1) x-3

A: Solution:

Q: Compute the limit below. Justify your answer. V2x +15 -1 lim x+-7 X+7

A:

Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: Find the following limits when they exist:   1. lim g(x)   x to 3+

A:

Q: 2) Find the following limits if they exist. a) lim xVx* +1-x lim(x+e')% b)

A: We have to find out limit

Q: + 1for all positive x-values, then what is lim f(x)? X+ 4

A:

Q: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: * :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

A: Apply the following steps to find the value of the given limit. Factorize the expressions in the…

Q: Find the following limits analytically or state that they do not exist. 2x+1 3. lim- x+0 x2+1

A: Given:limx→02x+1x2+1

Q: Suppose that following is true. (x2 + 5 f(x) = {x (6x² - 5 if x s0 if 0 < x < 1 if x 21 What is lim…

A: To check the existence of function at x = 1 We will calculate LHL and RHL if they are equal them…

Q: Evaluate the following limits. 2. e* + e-*-2 a) lim b) lim (1 +2x) 3/ 3/x x2 c) lim x2 In x x-0*

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Find the limit: (b) lim Sx+6 x-2

A:

Q: 1. lim (3x + 4)

A: