Approximate the value of 2x + x lim e" – 1 by substituting in 3 different values of x that get closer and closer to 0. Be sure to show all your work and indicate what you final answer is.

Q: compute lim as x goes to pi/2 from the right of (x-pi/2)tan(x)

A: Given f(x)=x-π2 tanx To find limx→π2+f(x)=limx→π2+x-π2 tanx

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: Evaluate lim f(x) where f(x) = x +2 cosx +1 e-4 for x20

A: Use the existence of limit definition

Q: 2. Construct a table of values to investigate 1 if x -1

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Q: b* – 1 Show numerically that for b = 2 and b = 4, lim x→0 appears to equal In 2 and In 4,…

A: Given limit:

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

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Q: justify lim O Find and the xy

A: It belongs to Multivariate Calculus (specifically several variable),so I can do it in advanced…

Q: Use L’H0 spital’s Rule where appropriate.

A:

Q: Find the limit. 2 lim 1 x-0 00 O 2 O 000

A: Let,

Q: IF FLX)= and Lim F(X)6 F(-)=2 b X<l Find a,b when X#0

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Q: USE YOUR CALCULATOR to find lim 5 sin(x) 2x

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Q: (x + 3)² lim – 9 = 3 2x

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Q: Decide if you can evaluate the following function using substitution. If so, state why and find the…

A: Given,  limx→π2sin x+x2

Q: lim x'e = 0

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: Find the following: x/3 + 9x/5 i. Lim X 06x1/2- 4x1/4

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

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Q: 1 Ask for the answer to limx(1– e* ).

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Q: if o sI< 10,000 1500 +0.21x if 10,000 < x Compute lim T(x); why is this good? Compute lim 0.14x…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 3. Use L'H rule to find lim (1– 2x)/=

A: From the given problem: limx→01-2x1x Let, y=limx→01-2x1x Now taking log on both sides.…

Q: Find the values of the following limits : 4x 3-limx-0 tan5x

A: According to the L'hopiatl rule: If the limit is of the indeterminate form 00  or  ∞∞ then…

Q: d. lim X-2+ X- 2

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Q: b. lim -4 In x tan(4x)]

A: Solution:

Q: Complete the following tables of values to investigate lim x→0 x − 1 x + 1 .

A: Consider the function fx=x-1x+1. Compute the value of the function for random values and then make a…

Q: If 1(x) = 8x+9 find lim t(x). 10x+6' X+00

A: The given function is tx=8x+910x+6.

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

A: Given :          limx→0tanx-xx3

Q: Find the following limit. 2-2 lim 4 x>« /16x + X→0o 2 -2 lim (Simplify your answer x→∞ V16x + 1 X-00

A: This is a limit question

Q: I. Apply the different techniques in evaluating the each item, you have to show your work at each…

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Q: Based on the previous item, what is x + 2 lim x→1+ x – 1.

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Q: lim (3x + 5) = 2, x→-1

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Q: (b) 21-1 lim x³ + x² + x + 1 = 4.

A: Given : b limx→1 x3+x2+x+1 To Prove : limx→1 x3+x2+x+1=4

Q: sin x 34. lim 1 - x o0-r

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Q: For the lim z (6x +) = 4, find the largest & that "works" for e = 0.0032. (Use decimal notation.…

A: Given,                    We have to find del.

Q: Use L'H rule to find lim (1 – 2x)/*. -

A: Question is solved.

Q: Find the following: x'/3 + 9x1/5 i. Lim -о бх1/2 — (2х — 1)1/2 — 3 - 4x1/4 ii. Lim x→5+ х— 5

A: the limit is in 0/0 format,so we can use the L'Hospital's rule

Q: 1 Ask for the answer to lim x (1 – e * ).

A:

Q: 393. lim x x → 0+ 1/x

A: Given: L=limx→0+x1x. To be find: evaluate the limit by using L hospital's rule. Concept: according…

Q: Approximate the value of et – 1 lim x→0 2x2 + X by substituting in 3 different values of x that get…

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Q: Find the value of lim tanx

A: As per our guidelines we only solve question number 1 . If you want the solution of other parts…

Q: Find the following: A)) lim x+1 x-3 lim B)) x4 x+1

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Q: Solve for the lim (x )tan(, ) -

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Q: Evaluate lim (e* – 2.x) x→0-

A: To evaluate: limx→0-(e3x-2x)3x

Q: Estimate 1/1−2^1/x from the graph limx→0+

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Q: Find the limit. (Round your answer to four decimal places.) lim In(x - 8)

A: We will find this limit algebraically  We pick a few x values which are close to 8 from the right…

Q: Find the limit. lim 7 sin(x)

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Q: Evaluate: lim,2 (x – 2) (cot rx). - O 1

A: We have to find the limit of a given function as x approaches 2. Rewrite given function as

Q: Q2: Use lim x 0 and lim x 0 to show that lim x = 0.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.