the following limits: x2+x-6 x-4 x2-7x+12 (i) lim

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

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 following limits if they exist. 1. 2 8x 4x+1 lim x0 x-7 2 lim x0 5x-7 X +2 x +x+ 27 lim 2…

A: It is known that limy→∞ay=0, where a is a constant. The limit: limx→∞P(x)Q(x) exists, if the degree…

Q: Evaluate the Polloung limits ad lim メ→ 0 Ilx³– 2x²~ 9 x 3 - 10x - 8 x3 ) lim メS-0 Ilx³- 2x²- 9 x –…

A: We havelimx→∞11x3−2x2−9x3−10x−8x3Multiply and divide by…

Q: Evaluate the limit: 4x + 4 lim x -1 x2 -2x-3 %3D

A:

Q: Find the indicated limit. lim x→1  x4 + 2\3x4 + 3

A: We have given to find limit  limx→1x4+23x4+3 =14+2314+3                        =1+23+3…

Q: Find the limits lim(2 - 3 as 1/3 a. t→0* b. t-0

A: Given function is: ft=2-3t13 As t→0+ we get, limt→0+ft=limt→0+2-3t13=2-∞=-∞

Q: Find the limit (if it exists). |x+7-3 lim x → 2 x- 2 а. 6 b. 1

A:

Q: Determine the following limits or state that they do not exist.

A:

Q: Evaluate: lim Vx² + 4ax - Vx² +4bx) X+ 00 (a – b) O a - b 2(а - b) limit does not exist

A:

Q: Find the following limits : 2*+3 1) lim x-0 3x-1

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: Find the limits 1 lim x→3+ X – 3

A: Given: limx→3+1x-3

Q: Evaluate the limit x2 + 8x + 15 lim x → - 3 x + 3

A: =?

Q: Evaluate this limit. x + 2 lim x--2 x2 +x – 2

A: To find the limit

Q: Evaluate the limit: 6x 12 lim I> 2 r2 + 3x 10

A:

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

A:

Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

A:

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

A: We have to find the limit: limx2+5x+5x3+3x2-11x For the given condition, a. as x→0 b. as x→3.…

Q: Find the following limits if they exist. 1. 2 3. 8x lim x+* 5x – 7 4x +1 lim x-* x-7 2. x+2x+x+27…

A: To evaluate the given limits.

Q: Find the limits 1 lim x→0 x²/3

A:

Q: Evaluate the following limits: x² - lim x→1 x-1 a) х-2 b) lim x→2 2- 16–x 2х -1 c) lim x→* x² +3x+5

A: a) limx→1x2-1x-1b) limx→2x-22-6-xc) limx→∞2x-1x2+3x+5

Q: 2+x 4. lim 3x-7

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

Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

A:

Q: Evaluate the following limits. х* + 3х + 2 lim, 'x-1 v2 x² + 4x +3 a. x² – 2x lim, „2' Vx² +5- 3 b.

A:

Q: 4x 3. lim X-4+Vx-4

A:

Q: d the limit lim X-3 x-2-1 x-3

A:

Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

A: In the question we have to calculate the limit of the following functions given.

Q: Evaluate the following limits. (x+1)² x² -1 x→-1 а) lim Vx - 4 lim b) х-16 x→16

A: a). On directly substituting the limit, the indeterminate form will be obtained, so first we need…

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: Find the limit. 8 lim x→7 3x + 4

A:

Q: Evaluate the limit. 4x2-9 lim x→3/2 15-10x а. b. lim(x – 2) sec(n/x) | x-2

A: See the details solution in below

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

A: Given

Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: Find the limit. lim x²xx+5)) x(x5) 3. 1.

A: We need to evaluate the following limit limx→0-3x2x+5

Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

Q: Q1/ Find the following limits. 1. lim x*+3x-4 2. lim x*- 16 x-1 2 X+2

A:

Q: Vx2 + 8 – 3 lim (ii) x+-1 x +1

A: We have to solve limit

Q: Evaluate the limit 4 lim V4 y - 4

A:

Q: Determine the following limits. 3x2 + 3x lim xS-0 x + 1

A: the given limit is: limx→-∞3x2+3xx+1 we have to evaluate the given limit.

Q: lim X-1 2メー1 4x2

A:

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

A: Given:         limx→−211+x−3x+2

Q: (b) Find the following limit: 4x +5 lim x+2 2x -1 (i) (ii) lim 4 x+* x* -x' +2

A: The solution is given as

Q: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: Find the following limits : 2*+3 1) lim x00 3x-1 2x+3 2) lim x--00 3x-1

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true

Q: 7. Evaluate the limit: 9x2 -2 lim 2 3x 2 x-3

A: To evaluate the limit:limx→239x2-22-3x Solution: It is 00 form. We will use L-hospital rule. In…

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.