EVALUATE: A Sketch the graph of the function and find the indicated limit if it exists, if the limit does not exist, state the reason (-2 ifx<0 2 if 0Sx 1. f(x) = lim f(x) b. lim f(x) c lim f(x) a.

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

A: We distribute the limit and simplify

Q: Graph the function. Then use your graph to find the indicated limit, or state that the limit does…

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 properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: A. Using table of values, determine the limits of the following: 1. lim x 2. lim x→1 x-1

A: Solution: The objective is to find the values of the given limits

Q: Vhat is the value of the limit below? lim v1 – x

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim 5+ h)3 - 125 h h-0

A:

Q: Use the graph of the function to determine the indicated limit, if it exists. Q lim f(x) 4- x5…

A: Observing from the graph we have

Q: Use a graphing utility to graph the function and determine the one-sided limit

A:

Q: Decide whether the limits exist. If a limit exists, find its value.

A: Given:            limx→16x-4x-16 Simplify: x-4x-16 x-16 : x 2-42 Apply; a2-b2=a+ba-b…

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

A: From the given problem: limx,y→0,0x2x2+3y2+3

Q: Decide whether the limit exists. If it exists, find its value. Find lim f(x) and lim f(x). 63- +

A:

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: One-sided limit at a point is obtained by approaching the point from the left or right. Approaching…

Q: 3) lim X -3x2 + 8x – 2 6x2 + 5 A) - B) 0 D) =

A: This question can be solved using the concept of indeterminate form and L Hospital's Rule.

Q: Decide whether the limits exist. If a limit exists, find its value.

A: To find: limx→∞x2+6x+8x3+2x+1

Q: find the limit or explain why it does not exist. (x + h)? – x2 lim h0 h

A: Definition used -      Limit of a function -        If substituting the value of limit in the…

Q: Use the graph to estimate the specified limit. lim f(x) and x-47/2) lim f(x) x-47/2)* Find

A:

Q: Decide whether the limit exists. If it exists, find its value. Find lim f(x). x-/2 A) B) 1 C) Does…

A:

Q: Use the graph of function below to evaluate the limit as it is approached a certain value of X.…

A: 1. in the first figure, function is discontinuous at x=-1 it means R.H.L , L.H.l and functional…

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

A:

Q: Graph the function. Then use your graph to find the indicated limit, or state that the limit does…

A: The function f(x)=2x+1 is continuous and limx→32x+1=2×3+1=7.

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Given: Th expression of limit as limt→9t-6t-3 To determine: The value of limit if exists.

Q: (2, 6) (-1, 3) /y= f\x) (a) lim f(x) X2 (b) X-1 lim f(x)

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Given limit is  limx→1x3-ax2+ax-1x-1   limx→1x3-ax2+ax-1x-1=00 This is indeterminant form. Apply…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 49 - x lim x-49 7 - Vx

A: We will find the value of the limit as following.

Q: Use the graphs and the laws of limits to evaluate: lim (f(x)+g(x)).

A: The graph of fx is as follows: The graph of gx is as follows:

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

A:

Q: Find the limits. Write ∞ or -∞ where appropriate.

A: Given limit is  As x approaches 0+ or 0- ,x2  always approaches 0+ . Therefore, Hence,

Q: Find the limit L. Then use the ɛ-8 definition to prove that the limit is L. lim (x + 7) L =

A:

Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the…

A: Given that, limx→0x+4-2x Consider f(x)=x+4-2x

Q: Evaluate the limit. (If an answer does not exist, enter DNE.) x1/2 + x – 4 lim x→9 x3/2 – 27

A: The given limit takes the indeterminate form 0/0 on putting the value X= 9. Therefore, we can use L…

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A: Use limit property to solve

Q: -3x- Consider the function g(x) = %3D 2x - 3, x24 (a) Find lim g(x) (b) Find lim g(x). (c) Does the…

A:

Q: Use the graph to evaluate the indicated limit and function value or state that it does not exist. 3)…

A: To find the values of function from the graph

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

A: Let the given limit be y - y = limh→0 x+h2-x2hy = limh→0 x2+h2+2xh-x2h…

Q: x² +7x+12 b) lim x-4" x? -16

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

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

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

A: To find The value of the given limits.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x + 5 lim X→-5 x + 125

A: given: a) limx→-5x+5x3+125b)  limt→03t-3t2+t

Q: Use the graph to evaluate the limit. lim f(x) X-1 4 6 X -1 8

A: To evaluate the limit of the given graph.

Q: Decide whether the limit exists. If it exists, find its value. 1) lim f(x) x-1 2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

A:

Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as…

Q: Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) x-1+…

A: We have to find value of given Limit.

Q: Inx 2. lim x-1x-1 1 0.9 0.99 0.999 1.001 1.01 1.1 f(x)

A: Find your answer below

Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

A:

Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: a. Find the limit lim f(x). X-2 Select the correct choice below and, if necessary, fill in the…

A:

Q: Use the graph to evaluate the indicated limit and function value or state that it does not exist.…

A: Consider the graph of f(x)