Questions 1 - 5: Use the information in the table below to evaluate each limit. -1 1 2 f(x) -5 -3 -1 g(x) -8 1 -4 2f(x) + 3 g(x) lim x→=1_g(x)-f(x) 3. 2)

Q: Question 2 Evaluate the following limits: 2.1 lim, 3(x³ + 2)(x² – 5x). |r+4| 2.2 lim,-4-(). I+4

A: Given,        2.1 limx→3(x3+2)(x2-5x)=

Q: QUESTION 5 Find the limit, if it exist. 9x 2+x+2 lim x- 00 4x-2x-3 O a. 9 4 O b. 4 6. Oc. 4 9. O d.…

A: Take highest power of x common from numerator and denominator

Q: 7. Find the limit of the following. a. lim(2x² - 4x + 7) b. lim X-5 X-4 x+2x -Sz-2x+4 c. lim x2 x-4…

A:

Q: - 6x - 15 if x -3 Calculate the following limits. Enter "DNE" if the lim f(x) = I -3

A:

Q: Find the following limit. 4 7 1-X lim 2 X→- 0 x* + 6x

A:

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: 4х — 1 4x2 + 3x Find lim f(x) if 5. x2

A:

Q: Question 29 Complete the table and use it to predict the limit, if it exists. 5x+ 8 f(x)= 1 –x² 2…

A: The given function is; f(x) = (5x+8)/(1/2 - x2)

Q: QUESTION 2 8x -13 X 3 Use the piecewise function f(x)=. 2x2+2x -17 x>3 to compute the limits below.…

A: First we find left hand limit aland right hand limit at x=3. For complete solution see below steps.

Q: x2 if x 2 a) lim h(x) x→2+ b) lim h(x) T→2- c) lim h(x) x→2

A: Given information: The function is h(x)=x2    if x<23-x if x≥2 (a) To find: limx→2+h(x) Solution:…

Q: Find the limits in Exercise

A: Since you have posted a question with multiple subparts we will solve the first three for you.…

Q: QUESTION 1 In x Complete the following table to evaluate the limit lim X-00 √x Step Explain the step…

A:

Q: 1.5 Find the limit of the function, lim(x³ + 5x² – 7x + 1). x-2

A: Given,           limx→2x3+5x2-7x+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: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: (2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63…

A:

Q: 1. a) Compute each of the following limits. i ii ²-25 lim X-5 x+5 lim 5x²-3x+1 x-00 4x²+2x-7

A:

Q: Question: 3 3- 19-2x+ x² a. Evaluate lim X

A:

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: Question 003: Complete the following question involving L'Hospital's Rule Use L'Hospital's Rule to…

A:

Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

Q: (4) Evaluate the limit, if it exists. 9 – x lim 1→-00 3.x³ – 75

A:

Q: Question 4 x3-8 :- If fx)=x-2 If x1. x+1-

A: Given :

Q: Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3)…

A: Here function is given and we need to find limit

Q: 2. Find the limit L. lim (x+4r) L-12 b. L-4 CL-1 dL-4 none of the ab0ve

A: Given limx→-2(x2+4x)

Q: Question 3: Evaluate the following limits, if they exist, by using the graph -5 -4 -3 -2 -1 3 -1 -2…

A:

Q: Problem 3. Evaluate each limit. If the limit is infinite, state whether it is -∞ or +∞. If the limit…

A:

Q: Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O…

A:

Q: 2x f(x) x + 6 10 100 1,000 f(x) -5 -10 -100 -1,000 f(x) Use the results to guess at the indicated…

A:

Q: Question 19 Saved Las(3) = {--2 sor x0 and evaluate the following limit: х — 2 for х<0 lim /(x) x→0-…

A: Given that, fx=x2            for x≥0x-2       for x&lt;0

Q: Consider the following. -2 ifx -1 if x = -1 fix) = -2 y -2 -1 <-1 -3 Use the graph to find the limit…

A: We need to find limit at x→-1.

Q: 1 1 Find the limit lim *+5 8 x→3 x-3

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Q: x² +1 if x -1

A:

Q: 2 급 ifx#글 1 11 2 Let f (x) if x= 륵 Use the results of Section 2.2 to evaluate the following limits…

A: We have to find out the limit

Q: x+2 Given: f(x) = (7 – x); |x+2|

A:

Q: Find the indicated limit, if it exists. 9- x? x0 lim f(x), f(x) = X-0

A:

Q: x' - 36 lim 6 x+6 Vx+11-4 lim x-5 lim- 2 2-x x² +6x+9

A:

Q: x2 Let h(x) = if x 2 a) lim h(x) x→2+ b) lim h(x) x→2- c) lim h(x) x→2

A: To find the limits

Q: Question #1) Use the graph of the function to determine the indicated limit -12 -10 -8 -6 4 -2 10 12…

A:

Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2

A:

Q: -7 -1 3 5 -1 -2 -3 -4 ー5 -6- -7 -8- de your answer below: a. lim f(x) = xラ-6 5. lim f(x)= O

A: Given:   Graph is given

Q: 7. Find the one-sided limit, if it exists. x-9 lim x+6 x+6- O -15 - 4 O -6 O 9 O The limit does not…

A:

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

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Q: 3x + 5, 4x- 2, Let f(x) = x 4 Find each limit (if it exists) a). lim f(x), b). lim f(x), c). lim f…

A: Consider the given function fx=3 x+5,      x≤44 x-2,       x&gt;4

Q: Question 2 Use the e - 8 definition to prove that lim (x,y,2)→(-1,2,-3) – 4y – 3z = -1. 2.x -

A:

Q: Find the limit. -重班 4x + 4 x² + 2x lim x-2+ Does not exist 4 O- 1

A: Find the limit

Q: lim x approches -infinity x ln(1-1/x)

A: The given limit is limx→ -∞ xln1-1x.

Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

A:

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.