Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim x→5  x^3-125/x-5 lim x→4  (x^2+x-20)/(x^2-16) lim x→12  x+4 square rooted *4/x-12

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: Estimate the one-sided limits for the function below.  f(x)=(11−x)/(x−8)^2   lim f(x)= x-->8+…

A: Given function is

Q: Determine the limit by sketching an appropriate graph. V16-x2 Osx< 4 lim f(x), where f(x) = 4 4sx<8…

A: GRAPH

Q: Determine the infinite limit. x + 2 lim x--3+ x + 3

A: We have to determine infinite limit: limx→-3+x+2x+3 We know that finiteinfinite=0finite0=infinite

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

A:

Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: limに 1 x2-3x+2 X-1 x-1

A: We have to find

Q: Find the limit. Use l’Hospital’s Rule where appropriate.If there is a more elementary method,…

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: Find the limit if it exists: lim x->0       (sin(3x)) / (x(3x2 - 5))

A:

Q: Evaluate the limit. +4-2 limx→0

A: First rationalize the numerator.

Q: find the limit.  lim(x-->2^-)    ln(-1/x-2)

A: Here we have to find the left hand limit at x = 2.

Q: Estimate lim→-4 f (x). Estimate lim-→-2 f(x). Where is f(x) discontinuous?

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the indicated one-sided limits, if they exist. -x + 6 15x + 5 if x s 0 if x > 0 f(x) = lim f(x)…

A:

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: Find the limit of  limitx->0= x2+4,

A:

Q: Find the limit. lim (5x + 4x + 3) X--3

A:

Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

A:

Q: Find the limit using direct substitution. lim                      3x+1/2-x x--&gt;-2

A: In the direct substitution method, straight way substitute the limiting vailue of x in the given…

Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: x→-2lim2-|x|2+x=x→-2lim2+x2+x=x→-2lim1=1

Q: Differentiate the power function f(x)=x4 using the limit definition.

A: Given: fx=x4

Q: 2sin()-1 limx¬1- X-1

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

Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether…

A: We make a table using the left-sided points of x=-2 x y -2.1 11 -2.01 101 -2.001 1001…

Q: Calculate the limit if it exists: lim x→4 for 5/(x-4)2

A:

Q: Find the Limit: 1. lim (2x + 5) x--7 3. lim(-x + 5x 2) 5. lim 8(t - 5)(t - 7)

A:

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

A: Obtain the value of the limit as follows.

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: limx→23x−95x−25 Since we have an indeterminate form of type 00 Apply the L' Hospital's rule:…

Q: Evaluate the limit 1 lim x--3 (x + 3)²

A:

Q: Evaluate the limit numerically. x + 4 lim x--5- x + 5

A:

Q: Find the limit lim x---> infinity sqrt(x^2-1)/2x-1

A: Given function is limx→∞x2-12x-1

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

A: Given limitlimx→5 4-3x+1x2-7x+10

Q: Use "L'Hopital's" rule to find the limit below. 2x2 – 8 lim х——2 х — Зx + 2 .3

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 limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

A: limx→∞sin-14x6-8x=sin-1limx→∞4x6-8x=sin-1limx→∞4xx6-8xx , [divide both numerator and denominator by…

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Problem in Image please

A: We have to essentially evaluate the limit shown on the white board.[a, b] = [2, 6] Hence, a = 2, b =…

Q: Use the limit process to find f'(x) = limh -->0 f(x+h) - f(x)/ h for f(x) = 3/4x-7

A: Use derivative formula :-   f'(x) =  dydx = limh→0f(x+h)-f(x)h

Q: 3x + 2 aluate the limit of lim if it exists. x + 2 O limit does not exist

A:

Q: Find the limit. x-x lim x→11- Vx х-х* lim x→11- Vx (Type an integer or a simplified fraction.)

A:

Q: Evaluate the limits with either L'Hopital's Rule or previously learned methods: х2+2х-3 1. lim x-1…

A: Find the solution

Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

A:

Q: х2-2х-3 d) lim lim-3 х2-5х+6

A:

Q: Estimate the limit numerically  limx→4 x^2−2x−8/x^2−3x−4=

A: We have to find limit

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

A:

Q: Determine the infinite limit. x + 5 lim X-4+ X + 4 x+4

A: To Determine: the infinite limit Given: we have a limitlimx→-4+x+5x+4 Explanation: we have to find…

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

A:

Q: Calculate the limit limx→∞(1+6x)x.

A: limx→∞ (1+6x)x   = limx→∞ (x+6x2) = limx →∞ x + limx → ∞ 6x2 = ddx x + ddx 6x2 = ddxx + 6× ddx ×…

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.