8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: lim V2 XH

A: function is well defined , for calculating limit directly put the value of x and we will get the…

Q: 2-limx-o(x. secx.cscx)

A: To find the limit of the following.                                     limx→0 (x sec x csc x)

Q: lim x→−2 (3x^4+2x^2−x+9)

A:

Q: lim X->2 x²+3x-10 x²-4 = ?

A: To Find :The above limit

Q: 1. lim 2x

A:

Q: xe 1. lim, »o X→0 1-e*

A:

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: Find lim (e* + x³ /2+2x)²/*. 1/x X+ 0+

A: Use log property and then use l hospital's rule to solve the limit.

Q: 5x"+x lim メ→ -0 -8

A: To evaluate: limx→-∞5x4+xx2-8

Q: VZx+10+ V-5x+10 lim 8. →ー1 十1 - 2x3+ 3x-5x+1 lim 9. *-2 +4

A: It is given that     limx→-12x+103+x2-5x+10x2+1 We have to evaluate it.

Q: lim エ→4 - V8 -x

A:

Q: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: g) 1/(2lnx) lim(1+2x)"

A: a) Here we have to find the limit of function f(x)=(1+2x)12lnx as x→∞limx→∞ f(x)=limx→∞…

Q: Find Lim 5e*²-2x

A:

Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

Q: 5 4 2 -a 5 -4 -3 -2 -1 1 2 3 4 5 a 7 -1 -2 -3

A:

Q: lim.                          x^5 x --> - infinity

A:

Q: 4. lim 1000 x-1000 5. lim X--2 x

A:

Q: lim esec x(7/2)+ sec x

A: We will substitute x= h + pi/2

Q: 2 lem -9 ズ→ス x-4

A:

Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

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

A:

Q: - 2x3+ 3x-5x+1 lim 9. *-2

A: limx->-2x4-2x3+3x2-5x+1x2+4

Q: 2x3 6) lim- 3--3X²-4

A: we need to evaluate the expression limx→∞2x33x2-4 limx→∞2x33x2-4=2limx→∞x33x2-4

Q: x2020 Evaluate: lim + x2019 + 1 2020 2019 O 2019 e O 2020 2019

A:

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

A: 1. To find the given limit limx→ 22x+3

Q: lim Xx→21

A: We solve this limit by substitution We plug x=21

Q: lim xx→9

A: We solve this limit by substitution We will plug x=9

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: A. Arcsec x - 25- xdx xdx B. 글x Arcsec x-를- В. C. * Arcsec x + 25- Vx -1 xdx xdx D. 글x + 글- Arcsec x

A: Given

Q: Find Lim 5e*-2x x-0 A. 5e C. 5 D. 0 B.

A: Solution