x²-1 2. limx-1 1-x

Q: x2 - 4x- 12 . Evaluate: limx-0 x2 - 4

A:

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: a. limx0 Tn(x) ex+x b. limr-0 2ex+x2 2e*+x2 In(x) c. limx-0+

A: Given; a) limx- infinity x/ln(x) b) limx- infinity (ex+x)/(2ex+x2) c) limx- 0+ln(x)/(1/x).

Q: -5x° + x* + 2 – 5x° + x* (a) lim 3x +4x' +1 6. 1/3 X. - (b) lim x>1 x² - 1

A:

Q: 1 1+ 2x lim x → 0- 1 3 + 2x

A:

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: Vx+4-Vx2+x+4 7. lim x-0

A: Explanation and solutions is given below....

Q: x2 - 5x limx¬0 х3 +х-2

A: Given: limx→∞x2−5xx3+x−2

Q: V13-x - 2 4-Vx +7 Evaluate lim-

A:

Q: (a) lim n-0 2 – ni x² – 4 (b) lim x + 4 x² – 4 (c) lim x – 2

A:

Q: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

A:

Q: x²-7x+10 1. limx-2 x-2

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

Q: .2 Find lim x+Vx +5x X→-00

A: To find:-

Q: Vx +1 - 2 x² +x – 6 1. Find lim- and lim x→3 x - 3 x→-3 x2 – 9

A: Here, we have to find limits.

Q: 3 x' tan (x) lim - 3 4x* + 2х-1

A:

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: x2 – 10x + 16 Calculate lim x→2 x2 – x - 2

A: Answer is  -2

Q: V3+x-V3 is limx→0

A:

Q: x3 - x2 - 5x lim x-1 - 2 (x + 1)2.

A:

Q: Зx2 +2х-5 1. lim x-1 х-1

A:

Q: lim (2x-5x) is x--2

A:

Q: lim,-1 f(x) =

A:

Q: 1 11. lim -1- |x +1 (x+ 1)2 + 3]

A:

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: x2-x-6 lim Find: x-2

A: Given

Q: x-8 1. limx-2 x-2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

A:

Q: x-3x-2 limx--1 х+1 ||

A:

Q: 1 lim 2 -1 x* -1,

A:

Q: 1 + (a) Lim X-1 'x+1, -2

A:

Q: 25+x-5 4-limx-0

A:

Q: x'+3x +3x+1 (3) (i) Find lim x+1 2x +3x –1

A: In given function on putting x = -1 it gives ( 0/0) indeterminate form .  Hence first we factorize…

Q: 2х3-2 lim х-1/(х-1)2 x→1

A: It is given that,    limx→1 2x3-2x-12 We have to evaluate it.

Q: -2x +x lim x->0 2x+x“ – 2x .3

A: We have to evaluate the limit                                            limx→0x3-2x2+x2x3+x2-2x

Q: (2x-1)(3-x) is limx→ (x-1)(x+3) +00

A: Given limit, limx→∞2x-13-xx-1x+3

Q: 2 V - 3 lim x – x→0 9 – 5 x 3

A:

Q: -3+ Vx2 +8 lim X--1 x+1

A:

Q: V2x (x- 1) X lim |x - | x→1*

A:

Q: 3 - Vx+4 12. lim X-5 х-5

A:

Q: x2-3x-2 limx--1 х+1

A:

Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

A:

Q: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…

Q: limx--1f(x) Let f(x) = (x² – 1)/C(x| – 1)

A:

Q: Find the limit

A:

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.