1. Evaluate the following limit: x? -4 a. lim- 1+2x + 2x – 8 (x²-9) 2 b. lim 1+3 (x -3) (t - 3) c. lim- 3 (t° – 27) (s² –16) d. lim- (2-5)

Q: Q2: Find the limit of the following function; 6e*x - e-2x lim x00 8e4x - e2x + 3e-x

A: We require a result to find limit of the given function: limx→∞e-x=0 Given function is:…

Q: 2(x-1)* - y² Lex-1)* +2y (d) Show lim does not exist.

A: Limit exist

Q: C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

A: Given limit: limz→-iiz3+i3z2+1 L'Hospital rule: If limx→cfx=limx→cgx=0 or ±∞, g'x≠0 for all x in I…

Q: Find the limits

A:

Q: Evaluate the following limits. If needed, enter inf for and -inf for -0. lim (-33x² +21x³) = A/ 818…

A:

Q: (a) lim 5x*+3x²-6r+10 2x4-3.x-4 4. Find the limit:

A: Given, Evaluate limit :limx→∞ 5x4+3x2-6x+102x4-3x-4

Q: Find the limits

A:

Q: Find the limit L. L = √x-7-1 lim X→8 X-8

A:

Q: x² – 9x³ - Find Lim x0o 6x-+ 4x A. B. 0 D. Select.one: OD O C 3/2 8. C.

A: Evaluating the limit value

Q: С. 6x° – 12x +13x³ - 5x +7 1. lim 14x7 -13x +1 1x³ + 4x? – 6 15x8 – 13x +9x6 – 5x³ + 4 - 2. lim 13x°…

A: 1.  Given: To evaluate the given infinite limitslimx→∞ 6x8-12x5+13x3-5x+714x7-13x4+11x3+4x2-6=limx→∞…

Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

A:

Q: Evaluate the limit: 2x – 6 lim I+3 r2 + 2x - 15

A:

Q: Q2: Find the limit 12 + 3t + 2 lim t→-1 t - t - 2

A: We are asked to find limit of a function. We will use simple algebra and solve it

Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

A:

Q: 1 is 1+a A power series representation for za+1 for | – z| <1 а. n=0 Ob. Σ 22n for |– a| < 1 Oc. z"…

A:

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

A:

Q: Find the following limit. J4x +1 2 lim 5х + 1 V4x2 +1 lim (Simplify your answer.) %3D 5х + 1 II

A: Given:

Q: 2 lim -4x+3 + 9 x 2

A:

Q: Find the form of the following limit and evaluate it. Vx +3 – V5 lim X+2- X - 2

A:

Q: 5. Evaluate the following limits: (a) lim Inr xxx (b) lim In r →1-1

A:

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: Find the value of b-2a for which the limit ex – xex – cosbx - limx +0 exists 4 Select one: а. 3 b. 1…

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: b) lim (1 +2x)³A * x=0

A:

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: A. Find the following limits: 2t2+3t+1 iii. lim 2t-1

A:

Q: - 27. Determine k so that lim (3e-kt — k) = 8118 I T 5

A: We have to find the value of k for which given limit is true.

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

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.