Find all values of x where the function is discontinuous. For each value of x, give the limit of the function at the value of x. Be sure to note when the limit doesn't exist. 4x r(x) = In x-5 Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. (Use a comma to separate answers as needed.) O A. fis discontinuous at the single value x = The limit is O B. fis discontinuous at the single value x = The limit does not exist and is not o or - o. O C. fis discontinuous at the two values x = The limit for the smaller value is The limit for the larger value is O D. fis discontinuous at the two values x = The limit for the smaller value is The limit for the larger value does not exist and is not co or - o. O E. fis discontinuous at the two values x = The limit for the smaller value does not exist and is not co or - o. The limit for the larger value is O F. fis discontinuous over the interval . The limit is (Type your answer in interval notation.) O G. fis discontinuous over the interval The limit does not exist and is not o or - o. (Type your answer in interval notation.) O H. fis continuous for values of x. f is discontinuous at the two values x = The limits for both values do not exist and are not oo or - o.

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

A: Given function is gx=-2xx-2

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

A:

Q: Use the Properties of Limits to evaluate the limit, if it exists. (If an answer does not exist,…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.). lim h → 0  √(4+h)…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  √(x+3x^2)/2x-1

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

Q: Find the limits as x→ 00 and as x → -00, (If the limit is infinite, enter 'oo' or '-o', as…

A:

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

A:

Q: Use the graph of y = Rx) and the given c-value to find the following, whenever they exist. (If the…

A: We have to find out

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 8 lim X → -0 x + 6

A: We have to evaluate the limit

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

A: Given limit is: L=limx,y→0,0xy4x2+y8 Let y = mx.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy8 lim (x, y)→ (0, 0) x³ +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) |r – 3| lim I+3+ x - 3

A: The given limit is, limx→3+x-3x-3

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

A: To find:limx→ 366-x36x-x2

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

A:

Q: se the graph to find the limit of the graph if it exists. If it does not, enter "DN y f(x) 2 4 6. im…

A:

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: Please see the answer below.

Q: Find the limit (if it exists). If it does not exist, enter NONE. 12 - 8.r +8 -2 + 8x +8 if x > 8 if…

A: the given function is: f(x)=x2-8x+8              if x<8-x2+8x+8          if x≥8 we have to find…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 7 lim x- -00 x2 + 4

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

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

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

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (6 -…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

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: Use the given graph of the function f(x) to estimate the limit lim f(x) I→-7 (Use infinity, negative…

A: Your graph

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A:

Q: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists.…

A: from the graph we can see that limx→a-f(x)=limx→0-f(x)=2limx→a+f(x)=limx→0+f(x)=DNESince…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE 2 2 lim t-0t t2 +t

A:

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

A: Definition: Let f(x) be a function. Then the limit of f(x) at x=c exists if and only if the right…

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: (a)

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) ' 4 - lim t-0\t t2 +

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 4 4 x + Ax lim Ax-0* Ax

A:

Q: Find the limits as x→ 00 and as x+ -00, (If the limit is infinite, enter 'oo' or '-oo', as…

A: We have to find limit at infinity.

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

A: Given limit ;

Q: Use the Properties of Limits to evaluate the limit, if it exists. (If an answer does not exist,…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 7 lim t-0EV1 +t 글)

A: We have to find limit

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3 +…

A:

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 2x2…

A:

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

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

A: This question can be solved by taking the LCM of the denominators

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

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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.) 9. lim x→o+ x² X

A: Follow the procedure given below

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: Given information about curves:  Equation for linear part : y = 32.5x+7…

Q: Consider the graph of the function y f(x) below. 2. y=f(x) 0. -1 3. 4 Use the graph to determine the…

A: If the left and right limit are not same then the limit do not exist at that point.…

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 5x2…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 1 lim (x + h)" h-0 h

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.