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

A: Limit exist

Q: Find the limits

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: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: Find the limits

A:

Q: Q.2.(a) Evaluate: t2+t-2 lime1 t2-1

A: Given: limt→1t2+t-2t2-1

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: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: This problem uses content from section 7.6. Consider a line lwith positive xand yintercepts. Suppose…

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: 7x5 - x3 + 2x - 5 7. lim x→-o 9x6 – 2x2 + 10

A:

Q: Vy? + 2 Find the limit: 1lim y+00 5y – 6

A: given,        limy→∞y2+25y-6

Q: Find the shown limit:

A:

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: Q6) Find the value of lim X-0

A:

Q: Q 7 Find lim y+21y2 +71y + 51 y2-9

A: Consider the given limits

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

A:

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: De nty. lim Bx+5 6+X6-

A:

Q: b) lim (1 +2x)³A * x=0

A:

Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

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: Ex3: Evaluate the following limits. (t+2) -4_0 (1) Lim undefined form

A: It is given that

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: (XthP+| lim 4.

A:

Q: 1² – 1 - 1 lim +1- a? – 2x +1'

A: To

Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

A:

Q: Next Evaluate the limit: 2x + 12 lim I+ -6 x2 36 -

A:

Q: 1. Evaluate each of the following: x3-64 a. lim X4x2-16 x-1 b. lim x-1 vx+3-2 1 1 C. lim 4 X→4ズー4

A: a)  limx→4 x3-64x2-16 = limx→4 x3-(4)3x2-42= limx→4 (x-4)(x2+4x+16)(x-4)(x+4)     ... Use (a3-b3) =…

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.