¤ – z² lim +1 1- ya

Q: 1 Find lim +3 using limit rules. 2.

A:

Q: Consider the following lim -1 1+

A: To determine the given limit, first apply the limit, as follows; limx→0+(1+1x)x=1+100 =(∞)0   which…

Q: SOLVE BY LIMIT DEFINITION 3x+1 2-x a) limx-2+1 limx→

A: Solution

Q: Suppose that ƒ is an odd function of x. Does knowing thatlimxS0+ ƒ(x) = 3 tell you anything about…

A: A function f said to be an odd function if it follows the property f-x=-fx. Since given function f…

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

A: Limit functions generally have indeterminate forms meaning after putting the limit at some point,…

Q: iz2-z- lim- z²-1 z-a

A: We have to use polar substitution.

Q: Let fcx) = find Lim frxx). %3D

A: Hi thanks for your question but we are entitled to solve one question at a time so i am providing…

Q: Calculate the limit limx→0lncosx3√1+x2−1.

A:

Q: Use a tble of functional values to evaluate: lim 12 z-2

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Q: Evaluate the limit: lim 4e10x – 4 13x - x→0

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Q: Calculate the following lim 1) lim(2x – 1) -

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is lim In x? x→2

A:

Q: lim An lim PiAnl = PiA) %3D n-14

A: Given the sequence An and limn→∞An=A. We have to prove that limn→∞PAn=PA.

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

A:

Q: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

Q: It is known that lim-0 eAt-0 for A What can you say about e? Justify.

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Q: Find limx→−∞(x2 −1)e4x. Show work.

A: We need to find : limx→-∞(x2-1)e4x

Q: 1 1 lim xV1+x

A: limx→01x1+x-1x=limx→01-1+xx1+x

Q: Show that 2n lim n+2 = 2,

A:

Q: Use the results of Section 2.3 to evaluate the limit lim e3×(x² – 6) =

A: Given that limx→0e3xx2-6 evaluate the limit

Q: cos(7x) – 3 + b lim- x-0 e2x – bx – 1

A:

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

A: Solution:

Q: date let fcx7= X-3x+2, find al lim fux) X-72 bllim fux) c) lim fox) (1) X-72

A:

Q: lim In(z – 1) – In(x“ – 1) = %3D

A: Given

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Vax +9-3 lim What is the value of a if 3D1?

A:

Q: Show that

A: Here we have to show that;  limx→-∞1x

Q: Find the value of * lim - 1 - 1 1 +x

A: Let us take f(x)=x11+x-1. Then we have to find limx→0f(x).

Q: find the limirt lim JK-6 X30 X-36 Give answer to at least three decimalplaces.

A: Put x=30

Q: Consider lim3 x2 9 Find a maximum value of 6 such that x2 90.005 if |x - 3| < 6 (Use decimal…

A: We remove absolute value of |x^2-9|&lt;0.005 and solve for x.

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: limz 0 |z|

A: For the given function  limz→0 Z|Z|

Q: find the limit or explain why it does not exist. lim 12 In (2 – Vi) -

A: We have to evaluate the following limit: limt→1t2ln2-t

Q: x³ - 125 lim x-5 x - 5

A:

Q: e) Finally, prove that lim az-2 does not exist.

A: Use left hand limit and right hand limit to proof it

Q: Use the e-8 definition to show that lim VI = 2. Z-14

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Q: lim I-→1 1- VT lim

A:

Q: Find the following Lim->0 (x1/3 + 9x1/5)  /  (6x1/2 - 4x1/4)

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Q: 2) lim X+1-x1 メーーt メーー 2x+2

A:

Q: х2 + 5х + 1 lim х-00 4x3 — 4х2 +x +4

A: Multiple questions are asked, According to guidelines I am answering first question. Please repost…

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: What is lim e7-1 Provide your answer below:

A: The objective is to find the limit.

Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

A:

Q: Use e-5 definition and prove that lim (2 5r) -6

A: Here we use basic definition of epsilon and delta .

Q: Find the limit or show that it does not exist lim 212 + 3t – 5

A:

Q: lim ( 7x 12 6. lim 13B

A: In this question we can find limit . Firstly solve quadratic equation of the numerator and cancel…

Q: Our aim is to prove that lim =2. Which among the following options is true?

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Q: lim TDC – 1 2x?

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.