lim (cot2 x x2 3/2 2/3 -2/3

Q: lim Sinx (1-cosX) 2x2

A:

Q: sin 2x lim х X-

A:

Q: sin 5x 1. limx-0 2x2 +3x 2. limx→0 x3+x+1

A: 1).limx→0 sin 5xx2).limx→∞ 2x2 +3xx3 +x+1

Q: sin 2x Find lim x-0 3x

A:

Q: lim x-->0 (sin(2x^3))/(3x^2)

A:

Q: csc 2x – cot 2x 1. lim X csc 2x 3 x+1-1 2. lim X [x] + x 3. lim x--1 x + 2

A:

Q: x-sinx (i) lim x2

A: i) limx->0x-sin xx2

Q: ) lim Sin (x3x+2) メーラー x3+1

A:

Q: 1 lim x? sin 1-cos³ x lim X→0 sin² x csc? x-2 lim п cotx-1 4

A: L'hospital rule: If limx→cf(x)g(x)=00 or ∞∞, then limx→cf(x)g(x)=limx→cf'(x)g'(x). Limit formula:…

Q: m cot(6x) / csc(6x) = ? x-> 0

A: limx→0cot(6x)csc(6x)∵cot x = cos(x)sin(x)   , csc(x) = 1sin (x)

Q: 2Tan 'x -x 9. lim, 2x – Sin^x

A:

Q: sin 5x lim, X→0

A: Given, limx→ 0sin5xx   Apply the L'Hopital's Rule: limx→ 0sin5xx=limx→ 0cos5x· 51

Q: 1. lim sin -;). x→2

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: lim cot ( x Cannot be determined 1

A:

Q: cot2 3x lim (sec' 2x)o x-0

A: Given: L=limx→0sec32xcot23x

Q: lim{x arctan x 2 }=?

A:

Q: 1. lim ( – cot x) x→0+ 1 2. lim (x + e2") 3.

A:

Q: 3. Evaluate: lim x-0 (sinx

A: According to Bartleby guidelines we are supposed to do only one question. If you want more to be…

Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: lim x cot 2x /

A: We use L Hospital's Rule to find given limit

Q: x - sin x 2. Find lim x - 0 x - tan x

A:

Q: lim cotx As x approaches pi from the left side

A:

Q: sin² (x) x…0 COSX-1 7) lim cotx + CSCx X-T 5) lim cosx+1 6) lim X-7 sinx 8) lim(--)

A:

Q: sin3x 1.) lim X-0 tan4x Solv

A:

Q: sin x 4. lim x0 et In x 6. lim

A:

Q: lim sin(5x) csc(3x) X-0

A: Formula: LimX→0[sin(ax)/x]=a

Q: xtanx Solve for the lim x-0 sin 3x

A: To solve this problem we have to use L' Hopital's rule.

Q: Lim cot(3X cotlôx) X- 3

A:

Q: sin(x) x0 sin(2x) Calculate lim

A:

Q: 2x sin-1 lim х30 еx — х — 1

A:

Q: sin 2x 2. lim- X0 2x+x

A:

Q: sin 2x Find lim 3x

A: given equation     limx--> 0    sin(2x)/3x   ** L hospital rule :-   limx-->0  f(x) / g(x) =…

Q: Sinx-XCOS lim

A:

Q: sin3 (x) Find lim х30 х-хсos(4x)

A: To evaluate the given limit.

Q: lim ( - x→0+ cot x)

A: We need to evaluate the limit limh→0+1x-cotx

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: lim x approches 0 of sin(5x)/7x

A: We have to calculate; A=limx→0sin(5x)7x

Q: sin-1(x) – tan-1(x) lim 3x3

A: The given limit involves inverse trigonometric function as well as cubic function and the limit is…

Q: lim Sin(1-Cost) 1- Cast ·

A: limt→0 sin1-cost1-cost

Q: cosh x 2. Find lim. ex

A: We have to find the limit

Q: (x+3)x+2| 2- lim (x+ 2) 4- lim x+0 sin x

A:

Q: lim sin2x/ x            x--->0 lim tanx/tan2x       x---->0

A: Multiplied the numerator and denominator by 2When x->0 then 2x->0Answer: 2

Q: (sin 3x cot 5x 5-lim X-0 x cot 4x

A:

Q: lim =cos メ→! X-1

A:

Q: lim x-0 sin 3x

A:

Q: lim Sin2x X+0 +1 - 1

A:

Q: lim cos xx x-0

A:

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.