2n -1 (i) lim = 2

Q: (a) limx➔oo x 3 = oo (b) limx➔-oo x 3 = -oo (c) limx➔-oo x 4 = oo

A: To check limit of x3 as x→∞ To construct a table by taking larger values of x and finding…

Q: 2x*-3x+2x2-x+1 lim -6x-x2+x+2 1 3 O O

A:

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: 4x lim エ→-0 r2-8z+3

A:

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: 6h lim-0 tan4h

A:

Q: 2х + x 1. lim

A: Consider the limit  limx→02x+xx

Q: 1. x² tan( + 47) + 2 tan-1x lim =? (a) 1 (b) -2 (c) -1 (d) (e)

A:

Q: I+3 lim z-3 + x- 6

A:

Q: lim yn2 +n -n=0

A: Limit problem......

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: x²-4 (b) lim 4-2 X+2

A: We have to evaluate the limit: blimx→-2x2-4x+2 After putting limit value we get that it is in the…

Q: ■ Find the limit.

A: Given limt→∞t+t22t-t2

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

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)

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Q: Lim JX-J2 メ→ x²-4

A:

Q: Part I x² -9 1. lim х>з х-3

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Q: 1 limx-0- (x 8 %3D x2

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Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: tan(x) d. limx→ x-5 e. limr→∞ xe-*

A:

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: h 4 (b) Lim h-0 V5h + 4 - 2

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Q: Find the limit.

A:

Q: 2-у 4. lim y-4 y2-8y+16

A: 4. limx->42-xx2-8x+16

Q: lim (VI+z- VF),

A:

Q: e2x –1- 2x lim -0 1- cos 3x (ii) Evaluate

A:

Q: lim -7 tan x X→(11r/2)

A: solution given below

Q: De nty. lim Bx+5 6+X6-

A:

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

A:

Q: z -1- i 2→1+i \ 22 – 2z + 2, 4. Find lim 2.

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Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: lim,0 e2x _e-2x 'x→∞ e2x+e-2x

A:

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

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 – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: *+xVア-2) lim )(4,16) x - Vy

A: Here we have lim(x,y)→(4,16)x2+xy-2yx-y

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: 1. Find lim an 3(x+h)-tan 3x A. 3 sec 3x tan 3x B. sec? 3x C. 3 tan 3x D. 3 sec2 3x

A: limh→0 tan3x+h-tan3xh So here fx =tan(3x) Now we need to find derivative of fx with respect to x…

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: Solve z4-1 lim z→i z-i

A: The given expression is: limz→iz4-1z-i

Q: Find the limits

A: Find the limits

Q: 7. *Find the values of a and b lim sin(ax-2a) x-2 = 3 %3D x-2

A:

Q: 1) 2|3x + 9| < 36 x2-2 2) lim х-2 х-3х+2

A: According to question given that :(1)   23x+9&lt;36(2)   limx=2x2-23x+2

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: 2 ] (d) lim x-1Lx-1 x2 -1

A: Topic = Limits

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.