Let f(x)=2x+5. Find lim h-0 (f(a+h)-f(a)/h)

Q: Evaluate the limit. 3 -2 lim x>1 3 x - 1

A: Given- limx→1-3x3x-2x-1 To Find- The value of the limit.

Q: Find the limit lim x-2

A: Explanation and solutions is given below....

Q: Evaluate the limit. x² +3x - 10 lim-5 2x + 10

A:

Q: Find the limit. lim x→-2 x2-4/x+2

A:

Q: 3x -4x b) lim X→-00 x2-2x3

A:

Q: Now, use direct substitution. 1 lim X-2 x + 7 + 3) = 1/6 Thus, the value of the limit X + 7 lim X -…

A: limx->21x+7+3Directy substitute 2 for xlimx->212+7+3 13+316

Q: What is lim1 f (x) ? X

A: Find your answer below

Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

A: We have to find the limit

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

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: Find the limit (if it exist).

A: Given,

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: What is lim f(x)? X-1

A: Given graph: To Find: limx→1f(x)

Q: What is lim ? X-0+ x

A:

Q: Find the limit. lim 1- x-0

A:

Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: 2 lim x→1- x²

A: The limit of the function f(x) is obtained as L=limx→a-f(x)L'=limx→a+f(x) Then the limit of the…

Q: Compute

A: The limit of the function is the value of the function when the value of the arguement is…

Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: Find the limits limx→ -∞tan-1 x

A:

Q: Let F(x) = (x2 + 3x + 2)/(2 - | x | ). Make tables of values of F at values of x that approach c =…

A: Given: Fx=x2+3x+22-x To determine: We have to estimate limx→-2Fx by making a table of values of F at…

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

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: 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: Sketch the graph of the function and use it to determine the values of a for which limx--a f (x)…

A: We will find out the required values.

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

A: Given :          limx→0tanx-xx3

Q: Calculate the limit.

A: Calculate the limit.

Q: Sketch the graph of a function f (x) that satisfies the following conditions: limx -→ -o f (x) = o ;…

A: Follow the steps to sketch the graph.

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

A: Follow the procedure given below.

Q: 4. If lim f(x) = -2, lim f(x) = 3, and f(0) = -2, what can X0+ X0- you say about lim f(x)?

A: Given, limx→0+f(x)=-2limx→0-f(x)=3f(0)=-2     Find limx→0f(x)

Q: Find the limit. 4 lim x→-2+ x + 2

A:

Q: Numerically determine the limit 8+x3 limx--2 2+x

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: Evaluate Lim マ-1 X-1 区 -1

A:

Q: Given the function f(x) = sqrt(x-2), please evaluate the limit. limx→∞ f(x)

A:

Q: B) By using (A), Find lim /-

A: limn→∞1n

Q: Find  lim x+8/x-1 as x approaches -2 approaches

A:

Q: Evaluate the limit  Limx->0 (ex-1-x)/x3

A:

Q: Which property of f(x) = x' allows us to conclude that lim x- 8?

A: f(x)=x3 is a continuous function. So, it is continuous at x=2 also.

Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Find the limit. 1 lim x→-3- X + 3

A: Given: It is given that the limit is limx→-3-1x+3. To find: The main aim is to find the value of…

Q: Use the graph to compute , lim f(x), x+3 -6 -4 -2 2 2.

A: Find the Limit of the function

Q: Find the. limit lim 11+X -3 X-2 X+2

A: Given:         limx→−211+x−3x+2

Q: Divide the numerator and denominator by the highest power of x in the denominator to find the limit.

A: Part(a)The highest power of x appears in the denominator as x. Hence, let's divide the numerator and…

Q: Let lim f(x)=4. Find lim (- 5') x→10 x→10

A:

Q: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

A: