lim f(x) x→2 4 - x, x # 2 f(x) = lo, x = 2 y 1 2 3 4 3.

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A:

Q: Find the limit. (If an answer does not exist, enter DN lim x→0 x2 9x

A: =?

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) y (-16,…

A: For the limit to exist at x =a :

Q: Use the graph of the function to evaluate the limit. lim g(x) y = g(x) 2 2 3

A: A graph of y=gx is given as shown below. We have to find limx→1gx

Q: Find the limit. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim x- 1 X - 1

A: Here we have to find limit of given question.

Q: Please show work.

A: Given,

Q: Find the limit, if it exists: X lim X+- 0 x² + 1 ,2

A: We factor out x2 from inside the square root. Then |x| comes out of the square root. Note that: x/…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) 5x - 4 lim X 0 2x + 4

A:

Q: Find the limit. (If an answer does not exist, enter DNE x + 1 – 2 lim x→3 X - 3

A:

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A:

Q: Find the limit of the Function if it exists? lim (x,y) to (0,0) ytanx /3x^2 +y^2

A: To determine if the limit of the given function of x and y exists at (x,y)=(0,0)

Q: Find the limit by rewriting the fraction first х-у+13x- 13/у lim Vx - Vy (х,у) -> (0,0) x+y

A: First of all break the fraction then apply limits

Q: plot the function and use the graph to estimate the value of the limit.

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - x lim x-2 Vx + 2 – 2

A: Given limit is: limx→22-xx+2-2 To evaluate the limit.

Q: Find the limit if it exists, or show that it does not exist. xy lim (x,y)→(0,0) x² + y8

A:

Q: Evaluate the limit if it exists, or show that it doesn't exist: (x + 3) e"! lim (2,1)(0,1) y+1

A:

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: limx→2fxfx=4-x  , x≠20,      x=2

Q: Find the limit. (If an answer does not exist, enter DNE. Vx + 6 – 4 lim x→10 X – 10

A: Given that  limx→10x+6-4x-10 find out the limit for the given

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 - Vx lim x-9 9x - x

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 – Vx lim x→36 36x – x-

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.)   (a)  lim x→c+…

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Q: Find the limit, if it exists, or show that it does not exist: x² – y? lim (x,y)→(1,1) x³ – y3 '

A: Explanation of the answer is as follows

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given:

Q: Find the value of the limit lim (a) -1 (b) 1 (c) 1/e (d) 0 (e) - a

A:

Q: Use the graph of f to find the limit. (If an answer does not exist, enter DNE.) y 2 1 4 fx) In(x) X-…

A: We know that if left hand limit is equal to right hand limit then limit exist .   limx→ a-  f ( x )…

Q: x? + x lim x' + 2x* + x³

A: We have to find  limx→0 x2 + xx5 + 2x4 + x3.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) t2 + 8 lim t -0o t3 + t² - 1

A: Here, we need to find the limit of the expression limt→ -∞ t2+8t3+t2-1. So,              limt→ -∞…

Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 - 4x + 6, l-x? + 4x –…

A:

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

A:

Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

A:

Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

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Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: What is the value of the limit below? lim v1 – x x→1+

A: Given query is to find the limit of the expression.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5…

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 (1, 3) 2 C = 1 X…

A:

Q: Please

A: Given limit is By L'Hopitals' Rule, we have

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x, y) → (0, 0) x…

A:

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (4 -…

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim h-3 (h2 + 4h + 3)

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Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x2 lim (x, y)- (0, 0) (x +…

A: The limits of the function will give the value of the function near the point. The limit does not…

Q: Find the limit x-1 lim x>I* Vx +2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim X → 2 X…

A: To determine:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 – 4x + 6, 1-x² + 4x –…

A: Here we find limx→7fx       where fx=-x2+4x-2, x≥7x2-4x+6  x <7if it exist

Q: y (0, –7) y = h(x) (-2, –9)| (a) lim, h(x) X-2 (b) lim h(x)

A: (a). The value of limit when x tends to -2 but from left hand side or right hand side will be -9…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 16 lim…

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.