For the function h whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why. (b) lim h(x) (a) lim h(x) x→-3- (c) lim h(x) x→-3+ x-3 (d) h(-3) (e) lim h(x) (f) lim h(x) (g) lim h(x)dr (h) h(0) (i) lim h(x) x2

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: Find lim 1+ (if it exists) X→ 00

A: Solving the problem by finding the limit.

Q: Sketch the graphs of functions that have the given limits and values. lim f(x)= infinity x-->2-, lim…

A: Given limits for the function is limx→2-fx=∞ ,  limx→2+fx=-∞ That is when x approaches 2 from left…

Q: Find the value of -1 tan (5x) lim- X

A:

Q: Evaluate lim x->-1 if f(x) {  1/x if x < -1                          { x2 - 2 if x ≥ -1

A: To evaluate: The limit limx→-1fx. Given: The function is fx=1x,        If x&lt;-1x2-2    If x≥-1.…

Q: If lim f(x)=-2 x-->0+, lim f(x)=3 x-->0-, and f(0)=-2, what can you say about lim f(x) x-->0?

A:

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: Hence, find the value of lim f(x). x→-3 lim f(x) Enter your next step h x→-3

A: Given,          Consider the graph of a function, fx , shown below :

Q: Find the lim x-->0 (x2-x)/(x2+x)

A: We have to find the limit                                      limx→0x2-xx2+x

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

Q: Find the limit. x!000 lim x→+0 et

A:

Q: If lim as f(x)-4/x-3=2 as x approaches 5, find lim f(x) as x approaches 5.

A: We have

Q: Find the one-sided limit

A: Given that limx→π+ xcsc x. Compute the limit as follows.

Q: 1 lim x→11-x .3 —х 1-х*

A:

Q: Find lim [x csc(x)] as x approaches zero.

A:

Q: lim 극 et – 1 x-1

A:

Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

A:

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

A:

Q: Use the graph to evaluate the limit. 3) lim f(x) x-0 3+ 2+ + 1 -4 -3 3 -2- -3+

A:

Q: What is lim x-->2 f(x)

A: Here we will see the graph and answer as per that....

Q: Guess the value of lim x 0 (tanx-x)/x3

A: Given :          limx→0tanx-xx3

Q: lim (x² + 2) -2

A: Here we have to find the limit using table of values

Q: x2-3x-4 3. lim x---1 x+1 1- -5 2- zero 2- 4- -3

A:

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: Find lim_f(x), if it exists. If it does not exist, explain why. X--4"

A: Follow the procedure given below.

Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

A:

Q: Determine the limit graphically, if lim f(x) x-1- 4+ 3- %+ -5 -4 -5+

A: we need to find  limx-&gt;1- Here 1^-1 means the x approaches 1 from the left. From the given graph…

Q: 3) lim (x² + 1) X--1

A: Limit is a basic concept of calculus  which shows the behaviour of a function  when it tends to that…

Q: √2+x-√2-x X lim- --0

A:

Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: Vz - vā lim х-а 11(х — а) xa

A: Given - Function  To Find - Limit of function

Q: Evaluate Lim マ-1 X-1 区 -1

A:

Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: Create a table of value (use 8 values - 4 on the left and 4 on the right) and a calculator to the…

A: Given problem:- Evaluate limx→610-x-4x+6by using 8 values table 4 left and 4 right

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: b. lim -3 where c is some fixed real number. +x+c-2 x>e

A:

Q: 1. lim (x+ 2) r→4

A:

Q: Find lim f(x) given the graph of

A: Given that: Graph of the function:

Q: If 3-2x sf(x)s3-x for -1sxs1, find lim f(x). lim f(x) =|

A: Calculate left hand limit and right hand limit than find the limit using sandwich theorem.

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A:

Q: Sketch the graph of any function that satisfies the following conditions: - f(3) = 2 - limx-->3-…

A:

Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the limit. x + 3x - 10 lim x+5 x--5

A: It is given that,       limx→-5x2+3x-10x+5 We have to find the limit.

Q: Find lim f(x) and x-(-1) lim f(x) x-(-1)* A) -7; -5 B) -2; -7 C) -7; -2 D) -5; -2

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Q: Find lim h-0 f(8+h)-f(8) h if f(x)=x² +9.

A:

Q: If f (x) = -x² + x, which expression represents f'(x) ? %3D -(x+h)?+(x+h)-(-x²+x) А. h…

A: We know that f'(x)=limh→0f(x+h)-f(x)h. Here, f(x)=-x2+x.

Q: If lim x) - 2 x-1 x - 1 DNE lim f(x). = 7, evaluate

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.