(x + 1 lim х 3 х — 3

Q: || x-3 18) lim3(1-cosx)

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

Q: h 4 (b) Lim h-0 V5h +4 – 2

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: X x+cos (-3x) 16) lim

A: To find the limit  limx→-∞xcos-3x

Q: 3. lim,10 Vx – 1

A: The limit of any function is defined for any function F(x) on any interval that contains point at…

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: 6h lim-0 tan4h

A:

Q: x² + 6x + 5 lim X--1 x +1

A:

Q: Find the limits

A:

Q: x(T/2)+ x 39. lim x csc x X21T x22x 1:

A: Given expression is: According to the properties of limits: Using the above property:

Q: b. lim cos(x)-1 x2

A:

Q: Find the limit

A:

Q: 2n +1 a) Using the definition, show that lim n00 3n +4 3

A: Given,           limn→∞2n+13n+4=23

Q:

A:

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

Q: 1 4. lim %3D x→0 x²(x + 7)

A:

Q: 10. Vh +1-1 lim h→0 h

A:

Q: 1. lim x- 2x + 6

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 2 sin? x lim х-0 5x(1+сos x)

A: Let L=limx→ 02sin2x5x1+cosxlimx→ac·fx=c·limx→afxL=25limx→ 0sin2xx1+cosxPlug in the value…

Q: 1? — х — 12 lim x→3 x² – 9

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

Q: 1+1 lim 11m +51

A:

Q: What is the value of x2 -9 lim a-0 x2 x - 6 -3/2 O 2/3 3/2 O DNE

A: limx→0x2-9x2-x-6

Q: Find the limit analytically

A: Given, limit function is

Q: In x lim 4!n e %3D In x -

A: Our is to evaluate the limit using L' Hopital's rule given below:-

Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

A:

Q: V9 + h – 3 21. lim h→0 h (1+ h)4 – 1 23. lim h→0

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by

Q: 9x +1 lim O-ズ X-1

A:

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

A: Let's find.

Q: 1 1 (x +h)2 x2 32. lim h

A:

Q: () -13x e ,6x lim x → 00 x2 13 ||

A:

Q: 1. lim Vx? – 4 x→2+ – 4 2. lim /x(5 — х) x-5 4x 3. lim x-4+Vx-4 E.2

A: We have to find

Q: 1 1 (x + h)² 32. lim h→0

A: Consider the limit

Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

Q: a) Evaluate V9x(x² – 3x +2) lim (3х — 3)

A: To find the limit:

Q: X+1 3x-5 lim 3x+1 X-X

A:

Q: Evaluate the limit, if it exists:

A: LCM of (x+h)^2 and x^2 is x^2*(x+h)^2.Simplify the numerator using LCD.

Q: 1 2 lim x – 1 a² – 12

A: Answer is 1/2

Q: 6) lim х-1 3x+2 6) А) 0 C) does not exist D) 1

A: Please see the answer below.

Q: q(x²) – q(1) lim x – 1

A:

Q: ex -e* lim 4 x-2 x-2

A:

Q: 4x 4 lim, -1+( - x-1 In x 4 1 O 2 3.

A: Given : limx→1+4xx-1 -4lnx

Q: 1-x? 2. lim 3x +1

A: We have to find the limit of given function lim x→∞ (1-x^2)/(3x+1)

Q: b. lim -3 where c is some fixed real number. +x+c-2 x>e

A:

Q: 1-Vx+1 lim X →0 x+9 – 3 -3 -6 6. 3 O does not exists

A:

Q: 2 – 1 | lim X→-1 elx+1)² – 1 | - 1

A: When limit is of the form 00 or ∞∞, then L'Hospital rule is used.In this rule, take the derivative…

Q: e 3x limx→0

A: Ans :    we will use DL Hospital rule to solve this question.

Q: ( 1 4 lim x - 2 x² – 4

A: We know that  a2-b2 = (a-b) (a+b) also, (a+b) 2 = a2 + b2 + 2ab

Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

Q: 3 lim h→0 3h + + 1

A: Here we have to evaluate limh→033h+1+1

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.