Home
Class 12
MATHS
Evaluate underset(xtooo)lim(sinx)/(x)....

Evaluate `underset(xtooo)lim(sinx)/(x).`

Text Solution

Verified by Experts

The correct Answer is:
`pi//180`

`underset(xto0)lim(sinx^(@))/(x)=underset(xto0)lim("sin"(pix)/(180))/(x)=(pi)/(180)" "{becausex^(@)=(pix)/(180)" radian"}`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE PUBLICATION|Exercise EXERCISE 2.6|9 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise EXERCISE 2.7|7 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise EXERCISE 2.4|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos
  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE PUBLICATION|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

underset(xrarroo)(lim)(sinx/x)

Evaluate underset(xrarr0)(lim)(sinx-x)/(x^3)

Evaluate underset(xto pi//2)lim(sinx-(sinx)^(sinx))/(1-sinx+log_(e)sinx) .

Evaluate underset(xto0)lim(5sinx-7sin2x+3sin3x)/(x^(2)sinx).

Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).

Prove : underset(xrarroo)"lim"(sinx)/(x)=0

Evaluate underset(xrarr0)(lim)(sinx+log(1-x))/(x^2)

underset(xrarr0)"lim"(sin3x)/(sinx) =

Evaluate : underset(xrarr0)"lim"(1)/(x) .