lim Vx+ 2/x - Jx)

Q: evaluate the limit.

A: Given:

Q: lim_(x → 0) ((x/(1-cosx) - (2/x))

A: Use L'Hospital Rule

Q: 9. Lim 6x - Sin 2x メ→0 2x +3sin 4X b. lim x²-1 1/2

A:

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

Q: sin 3x + ax + bx3 lim %3D x3

A:

Q: Lim secx -co tx メーマ

A:

Q: 16. etan (1) sec² (x) dr

A:

Q: Lim メーラル sin2x x² 2.

A:

Q: lim [(x²-In(x + 1)) cot x] x-0-

A:

Q: =) lim cos 3x sec 7x Xー

A: 1) a) The given function is, limx→π2cos 3x sec 7x. limx→π2cos 3x sec 7x=00 Rewrite the given…

Q: 7 arctan(x) Calculate lim 0 x3 + 6x

A:

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 2) Show that sinax _a lim x-0 tanbx b %3D

A: Show that  limx→0sinaxtanbx

Q: lim(Vx +x - x

A:

Q: lim x approaches 0 ................ (x^2 - 1)(2 - cos x)

A: To find the limit of the function as x approaches 0, the function is given as follows: x2-12-cos x

Q: lim х-0 Arcsin x II

A:

Q: lim X(In x)2 requires repeated application of L'Hopital's rule. Show all the steps.

A:

Q: Q5/ * lim (x-3)(sin-'(x) – x) using L Hopital Rule

A:

Q: lim{x arctan x 2 }=?

A:

Q: lim Vr In r.

A: To evaluate the given limit.

Q: Find the limits

A: Find the limit limx→-πx+4cosx+π

Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Q/calculate limit statement lim 1-sinx X→ 1/1/20 X2502-1

A: It is not a limit questions we don't have check a+ and a- limit we have to put directly limit

Q: lim メ→02-V4+x Calculate

A: We have to find the limit of the given function.

Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

A:

Q: Txーt e lim 4x² 4,2 +4x

A: Given that limx→0 e2x-14x2+4x We have to find the limit using L-Hopital rule L-Hopital's rule: If…

Q: lim vr +6x+1-Vx²+x =

A: We need to find the limit of given function at infinity

Q: 3 lim z? sin(-

A:

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: lim -Vx + +sin(x)cos(x) 1+In (x)

A: Topic:- limits

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: COS x -. Use Squeeze Theorem to show that lim 0. x→+0 cosh x

A:

Q: lim Jx-S

A:

Q: 7- sin-(e*) 2 lim V1 - e2x

A:

Q: 2- x - sinx 1. lim x00 x + cosx x*+2x-1 2. lim-0 x3-2x2+x

A:

Q: Find the limits

A: Consider the given function, limx→∞x2+25-x2-1 rationalize the function,…

Q: Lim -> 0 Sin3ycot5y/ycot4y

A: limy→0       sin 3y .cot 5yycot4y   =limy→0    sin3y tan4yy tan5y 00farm…

Q: lim (4x+cosx) / x ? x--->infinity

A:

Q: olve using L'Hopital's Rule 9. Lim

A: Here the given limit is  y=limx→0(1+x2)csc2x

Q: lim(z – 1) csc TZ Is

A:

Q: lim Vx2+1-Va²+1 4-, 5- lim 1 x+2 6-, lim sin 3x X-a -

A:

Q: lim does not exist NI

A: Given,  limz→0zz

Q: lim Vz+6-V6

A:

Q: lim %3D X2 -マメ

A: The solution for the above question is as shown below.

Q: 2х а) lim -1-2x (sin 2x)+² - et b) lim -4x - cos x

A:

Q: lim (x2 + 2)sechx X→+0

A:

Q: lim (x,y)(1,2) 2x +x*y-xy 4x2-y?

A: Given,          limx,y→1,22x3+x2y-xy24x2-y2

Q: limx¬1 x(1 – cos-) x→1

A:

Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

A: