9- 8+ 6+ 5+ 4+ 3+ 2+ 1+ +++ -10-9-8-7-6-5-4-3-2 -1 ++++» x 5 6 7 8 9 10 4 1+ 2+ -3+ -5- -6+ -7+ -9+ -10 Given the graph of f(x) shown above, evaluate lim f(2). (If the limit does not exist, enter Ø.) Provide your answer below:

Q: Find the limit of limx->-1 (x3-2x2+5)

A: Since this is a polynomial function,we can calculate the limit by direct substitution. We have The…

Q: If -x2 - x + 1 ≤ g(x) ≤ x2 - x + 1 for all x does not =0. What is the lim x-----> g(x)?

A:

Q: Sketch the graphs of functions that have the given limits and values. lim f(x)= infinity x-->2-, lim…

A: Given limits for the function is limx→2-fx=∞ ,  limx→2+fx=-∞ That is when x approaches 2 from left…

Q: find the limit of  limx->-4 [(x2-2x-24)/(x+4)]

A:

Q: Evaluate the limit for the graph: lim Ax). 4 2 -4 -2 이 4 -2 -4 2.

A:

Q: 2. Evaluate the limit: TC 1000 lim x-7- (x-7)2 lim x→8+ (8 - x)3

A: the given limit is: limx→7-πx-72-limx→8+10008-x3 we have to evaluate the given limit.

Q: Compute the limits that exist. lim x---2 x/x - 2

A: Explanation: Given that,  limx→2xx-2     Concept Used: If LHL=RHLLim exist.If LHL≠RHLLim doesn't…

Q: Evaluate the limit |x – 4| lim x-4 x- 4 If the limit does not exist enter DNE. Limit =

A: →For existance of limit at any point,         Left hand limit(LHL) and right hand limit(RHL) at that…

Q: Compute the limits that exist. lim x---5, 2x - 10/x2 - 25

A: Given: Compute the limits that exist. limx→5 2x-10x2-25

Q: Find the limit. lim x--s+ (x + 5)2

A: The given limit,limx→-5+1x+52

Q: calculate the limit limx→0  x3-3x2+x-5

A: To evaluate , limx→0 x3-3x2+x-5

Q: 2sin()-1 limx¬1- X-1

A: The given limit is limx→1-2sinπx3-1x-1

Q: Compute the limits that exist. lim x---0, x2 + 3x/x

A: Given: limx→0x2+3xx

Q: find the given limit  lim(-x^2+6x-3) x-->7

A: We need to find the value of the given limit

Q: calculate the limit limx--> ∞ 3x^2+x-1/4x-7

A:

Q: 23. lim -3 X-3 -/3

A:

Q: 7x - 49 -if it exists. If the limit does not exist explain why. Justify each step by Find lim -7 x-…

A:

Q: Evaluate the limit for the graph: lim Ax). 4 2 4 -2 0 2 -4 does not exist 4.

A: To evaluate the given limit

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: В. Find the limit. х2-25 Зх — 1 1. lim х>-5 х + 5 5. lim х-1/3 9х2-1 Зx2—17х + 20 х3-1 2. lim х-4…

A:

Q: Use l'Hopital's Rule to evaluate the limit. x2 - 9x + 20 19) lim X→5 X - 5

A: Consider the limit  limx→5x2−9x+20x−5

Q: Compute the limits that exist. lim x----5 2x2 - 5x - 36/8 - 3x

A: To compute the limit: limx→52x2-5x-368-3x Solution: Evaluating the limit.…

Q: Establish the x² - x + 1 lim +2 3 %3D By using the 4. x+2 € - 8 definition of limit or the…

A:

Q: Compute the limits that exist. lim x---8, 15x - 4 - 1/3x2 + 2

A: We need to compute the limits that exist. lim x---8, 15x - 4 - 1/3x2 + 2

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

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

Q: Evaluate the limit: V6z + 49-7 lim

A: We can solve the problem by L'Hospital's Rule.

Q: 1. Evaluate the limit: 5 x lim x-5 (x-5)2 2. Evaluate the limit: TC 1000 lim x-7- (x-7)2 x-8+ (8-…

A: We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: write on history of limit of functions and its importance of in other science?

A: The limit of a function is a fundamental concept in calculus and analysis. It describes the behavior…

Q: 4-V3x+1 Evaluate the limit limx→5 x²-7x+10

A: Given limitlimx→5 4-3x+1x2-7x+10

Q: Evaluate the limit: lim t---->0 e2t - 1 / et -1

A:

Q: Evaluate the limit: lim 3z4 – 8z = - %3D Z - 1

A:

Q: • Find the limits of 2+x-V2 • lim Vx -3 • lim X→9 x-9 x³+1 lim X--1 x+1 V5+x -V5-x • lim x-0…

A:

Q: Find the limit  1) lim x--->2   ( x^2-x-6 ) / ( 4-x^2 ) 2) lim x--->0  sqrt(9+2x)-3 / 5x 3)…

A:

Q: Find the indicated limit able to evaluate. X -5 lim x-5

A:

Q: Actually the range of possible results for a limit with a 00 indeterminate form is anywhere from 0…

A: Example of a limit with the form 00 is provided.

Q: Evaluate the limit: Lim X--3 (2-√x² +100 x + 3

A:

Q: Evaluate the limit: lim 1-16 x3-8 x2 limit as x – - > 2 x ^ 4 - 16 divided by x^ 3 8

A:

Q: Find the limit lim 4-V if it exists. Use Limit Laws if possible. x-16 16x-x2"

A:

Q: х2-2х-3 d) lim lim-3 х2-5х+6

A:

Q: Use l'Hopital's Rule to evaluate the limit. x2 - 6x + 5 16) lim х-5 х -5

A:

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: Find the limit if it exists. lim (2x+3) X--2

A:

Q: x2 + 2x + 1 lim x--2 x2 + x +1

A: There is no need for L hospital as the limit can be evaluated directly.

Q: Find the limit lim 4-V X-16 16x-x2" if it exists. Use Limit Laws if possible.

A:

Q: find the limit of  limitx-> -6- 1/(x+6)

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Q: (a) Find the limit (if exist): lim "(2t-2)2 dt 2x-1

A:

Q: Evaluate the limit for the graph: lim Ax). 4 4 -2 0 4. -4 3 does not exist +0o 2.

A:

Q: a) calculate the limit x--> -7 x^2+6x-7/x+7 without using L Hoputals rule    b) calculate lim x-->…

A: Given: calculate

Q: find the limit of  limitx->1(x3-1)/(x-1)

A:

Q: Prove the statement using the ɛ, 8 definition of a limit. lim (x2 – 2) = 7 x- -3 Given ɛ > 0, we…

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.