x2 lim X→0 e5x

Q: e* – 1 lim V1+x -1 x→0

A:

Q: х — 4 lim x→4 Vx – 8 – x

A:

Q: 1. lim 2x

A:

Q: X>0০ कलामह ही ही। lim LS 15 X১-০০ 3xt 2 ए

A: The value of limit can be computed as follows.

Q: x2 5. lim X→ー8 e1

A:

Q: -13x e + e6x lim x → 00 x2 ||

A:

Q: X (b) lim 0 DO (c) lim xln 1

A: (b). Given: limx→0+lnxx

Q: C Lim x+h -rx , hto. H.. h.

A:

Q: 8. lim xx = 1 00-X 9.lim (1 – 2x)x = e¯2

A:

Q: 3 x³ – 64x e. lim 5 .2 е. X + 2x

A: Topic:- limits

Q: limx→∞ 1 − e^−4x

A:

Q: g(x) lim -2 h(x)

A: Please refer to the image below

Q: b) lim h-0 (x+h)20-x20 =? h

A:

Q: Evaluate

A: Given, limx→1+1lnx-1x-1

Q: (c) lim ln(csch ¹x) #+++∞

A:

Q: 46. lim h→0 (x + h)³ - x³ h bluow

A:

Q: x²+x-2 1. lim X-o 4x-1

A:

Q: t(x)=6x/ ln x 10 What is lim               x →+∞ t(x)?

A: It is given that, the function

Q: lim (x2 – x')e?* X -

A:

Q: tan(x) d. limx→ x-5 e. limr→∞ xe-*

A:

Q: 1) lim Ax) = -2 x- 5 2) f'(5) = DNE

A:

Q: (b) lim (1+ x)* x→0+

A: Given

Q: .2 lim Vx + 6x + 18 – x X00

A: Given problem is  :

Q: x-1 7. lim xl Vx+3 – 2

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: d. lim h(x) Preview e. lim h(x) = x→00 Preview f. lim h(x) = 00--x

A:

Q: e – e-* lim I-0 x2 + 3T

A:

Q: xsinx lim x→0 e*+e¯x-2cosx

A: Since, we have been given up the expression:-limx→0 x sin (x)ex+e-x-2 cos (x)-(i)Since,on applying…

Q: –13x e + e6x lim x → 00 x2 O 13 O 0

A:

Q: 1 1 e. lim 4 x+3 x-1

A: We have to solve.         limx→114-1x+3x-1

Q: 3. lim e x→3*

A:

Q: x* +x² 5. lim,-. e* +1

A:

Q: x°+4 lim 4 x+ 0x"+5 ||

A:

Q: (c) lim xe-x/2. x 00

A:

Q: |x| lim e* +- + x2 X→0-

A:

Q: In(x + 1) – ln (2x) lim X→1 х2 — 1 II

A:

Q: 4). limn Jã X 00

A: Given, limx→+∞ x We have to calculate given limit.

Q: Evaluate

A: It is given that,limx→-∞x2e-xWe have to evaluate it.

Q: 2. lim (e* – 1)lnx

A:

Q: 1 x-1 x-1 ln x 3) lim

A: Explanation of the answer is as follows

Q: x |x+1| e) lim X--1 x+1

A:

Q: 4x - x2 5. lim (+4 2- Vx

A: "Since, you have asked multiple question, we will solve the first question foryou. If you want any…

Q: x - 2x +4 d. lim x+ 3+ 2x – 2x² e. lim e*

A:

Q: b) lim xã 00-X

A: To evaluate the limit: limx→∞x1x. Solution: We know that, elna=a Using the above property,…

Q: (p- [d) lim xn x→-0

A: In this question, the concept of limit is applied. Limit The limit formula is employed to calculate…

Q: 1+ x – e* lim x(e² – 1) а.

A: Since you have ask multiple  questions,so we will answering only first question.

Q: Evaluate the limit.

A: Solution: Consider the given limit function  limx→-∞x+xx+1 Here x is negative when x →-∞ therefore x…

Q: 3) lim Lnx.tanx

A:

Q: 4x° – x lim x' +5 (d) x² – 49 lim Vx+2 - 3 (e)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.