sin 2x ind lim X-0

Q: sin(2x) lim x→0 sin(7x)

A: This is infinity/infinity form, apply L-Hospital rule to proceed further.

Q: Show that

A: Given limit: lim x→0 x sin1x=0

Q: Find the limits

A:

Q: Find the limit

A: Consider the limit, First of all, apply the fraction rule, Then,

Q: sin X 5X lim

A:

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

A:

Q: sin 5x 6. lim x→0 sin 10x

A:

Q: lim sin x x aproches infinity

A: We need to determine the value of the following limit

Q: sinx 2) lim X-0 tan4x

A: image is attached.

Q: sin x 1 lim

A: To prove, limx→0sin xx=1

Q: lim xS0  .  ...........tan 3x / sin 8x

A: limx→0tan3xsin8x

Q: sin(7.rx) lim X-X

A:

Q: (sin 3x)(sin5x) 12. lim 7x2

A:

Q: (sin x' 2) lim

A:

Q: sin 5x lim X→0 sin 4x

A: To find the limit: limx→0sin5xsin4x Solution: Quotient rule of differentiation states that:…

Q: Evaluate the limit.

A:

Q: sin 4x What is lim X-0

A:

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

A:

Q: Evaluate

A: Apply ln on both sides. Let, y=(sinx)x ln(y)=ln(sinx)xln(y)=x·ln(sinx)ln(y)=ln(sinx)1x

Q: lim x→0 (sin 4x/ sin 6x)

A:

Q: Find the limit

A: Recall:

Q: х+ sin 2x lim х-2 х — sin 2x

A: The limit defines the value that a function approaches as the input value of the function approaches…

Q: sin(3 – x) lim x→1 x2 – 5x + 6

A: Explained below

Q: sin(cos x) limx-n/2

A:

Q: sin 14x lim x-0 sin 7x 3x (7x – 2) lim x+0 \7x + 3.

A: limx→0sin14xsin7xAs we know that if limx→a-f(x)=limx→a+f(x)=Llimx→0sin(14x)sin(7x)=00This is…

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

A:

Q: sin 5x f. lim

A:

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

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: Find the limit

A: Given limit is Dividing both numerator and denominator by x, we get

Q: sin(14x) lim x-0 tan(9x)

A:

Q: i) lim 5 sin x %3D

A:

Q: sin 4x 18) lim X-0 tan 5x

A:

Q: Find the limit

A:

Q: sin(5x) е. lim х>0 sin(3x)

A:

Q: sin x lim 1-e* x→0

A: Given query is to find the limit of the expression.

Q: lim 1-cosx/sinx ? x-->0

A: Given:

Q: sin 2x – x lim x→0 3x

A: Given,limx→ 0sin2x-x3x

Q: Sin²X+SIN 2X 1)Lim 5X x → 0

A: Here we find limit

Q: sin (Te 2. lim

A:

Q: evaluate the limit.

A:

Q: sin 2x B) Find: limx→0 2x2+ x

A:

Q: sin(4.x) Find lim 1-0 tan(2x)

A:

Q: sin4x 15. lim x→0 sin7x

A:

Q: Sin 4X lim メ→。

A:

Q: Sin lim 3xコ スー

A: We have to find limit

Q: sin 5x 17) lim х-0 sin x

A:

Q: 2x lim ¤→0 sin x

A: We have to find limit