Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)  lim x→−4 x2-16/x+4     Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. g(x) =

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim x2 - 9…

A: Given:              limx→-3x2-9x+3           =limx→-3x+3x-3x+3           =limx→-3x-3…

Q: The initial substitution of x = a yields the form Simplify the function algebraically, or use a…

A: Given: limx→32x2+5x-33x2-9

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x3 – 64 lim…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 5x lim x5 x2- 4x -…

A: Given : limx→5x2-5xx2-4x-5

Q: Find limit (a) by investigating values of the function near the point where the limit is taken and…

A: Given that, limx→1x4+2x3+2x2-10x+5x2-1 Consider f(x)=x4+2x3+2x2-10x+5x2-1

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x3 - 64 lim…

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² – 64 lim…

A: To evaluate the given limit limx→-8x2-64x+8

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0    3x2 − 2x x

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 lim 9x + 14 X-7 x - 7

A: we will use the basic property of limits to answer this question.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−5    25 − x2 5x2 + x3

A: We need to find the value of given limit.     limx→-525-x25x2+x3

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x3 - 27 x -…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 9(x + Δx) + 7 − (x2…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t −…

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) -64 lim 48…

A: Consider the given limit limx→4x3-64x-4

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 9(x + Δx) + 7 − (x2…

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 64 lim…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

A:

Q: find the limit of function (a) as x→∞ and (b) as x→-xo. (You may wish to visualize your answer with…

A: We have to find the limit of the given expression   the given expression is

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  8(x + Δx) − 8x Δx

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim x→5…

A: Given information: limx→ 5x3-125x-5 simplify the expression and plug the value 5. limx→…

Q: Determine a value of the constant a for which lim g(x) exists and state the value of the limit, if…

A: Given piecewise function is gx=x2-4x ; if x≤-1ax3-9 ; if x>-1

Q: Evaluate the limit, If it exists. (If an answer does not exist, enter DNE.) x2 - 8x lim X-1 x - 7x -…

A:

Q: Write a simpler function that agrees with the given function for all but one point. Then, find the…

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ – 64 lim…

A:

Q: x´ +2x –15 c) lim x→3 x-6x+9

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 7(x + Δx) + 4 − (x2…

A: A limit tells us the value that a function approaches as that function input get closer and closer…

Q: Calculate the limit algebraically. (If you need to use  or –, enter INFINITY or –INFINITY,…

A:

Q: Find the limit of the function lim_4-√x²+7 X - 3

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim…

A: Given limit , limh→0 x+h3-x3hWe have to evaluate the limit , if it exists .

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→10+ 10 − x x2 − 100

A: To Find: limx→10+10-xx2-100 Concept: i. limx→a+fx=limh→0fa+hii. x2-a2=x-ax+a

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) X - 8 lim x - -00 + 6 Find…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x² + 3x lim x-3 x² - 4x…

A:

Q: The lim(x0) [f(x)] fails to exist because.. (refer to the graph below) * As the function approaches…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→−3  x2 − x − 12…

A:

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−3  3x2 + 3/X

A: Given, limx→-33x2+3x Use L'hospital rule to find the existence of limit

Q: d) Use a graphing calculator e2x-2x-1 f(x) = x2 a) lim f(x) x→0+

A: We will use graphing calculator to find rhe graph of the function

Q: a ) find the limit. (If an answer does not exist, enter DNE.) lim x→0  x/x2+3x (b) Find the…

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

A:

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: using  a2-b2 = (a-b)(a+b)

Q: Find the limit, if it exists. x² lim X-5 000 A. B. - 2x - 15 X +3 -8 5 C. 0 D. The limit does not…

A:

Q: x² +7x+12 b) lim x-4" x? -16

A: We have to find limit of given rational function.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 6x + 9 lim X→-3 x4…

A:

Q: find the limit or explain why it does not exist

A: a. Given that limx→0 x2+xx5+2x4+x3. Compute the limit as follows. limx→0 x2+xx5+2x4+x3=00  I.F Apply…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x3 - 1 lim…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - 36 lim…

A: Solve the following

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 10x + 70 lim x→-7 |x + 7|

A: We have to find limit .

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) X - 3 lim X3 x2 - 6x +9

A:

Q: find the limit or explain why it does not exist

A: find the limit or explain why it does not exist.      limx→ax2-a2x4-a4

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

A: The given limit is limx→-6x2-36x+6

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.