Home
Class 12
MATHS
Evaluate lim(xto1) (1-x)"tan"(pix)/(2)....

Evaluate `lim_(xto1) (1-x)"tan"(pix)/(2).`

Text Solution

Verified by Experts

The correct Answer is:
`2//pi`
`underset(xto1)lim(1-x)"tan"(pix)/(2)=underset(xto1)lim((1-x))/(tan((pi)/(2)-(pix)/(2)))`
`=(2)/(pi)underset(xto1)lim((2)/(pi)(1-x))/(tan((pi)/(2)(1-x)))`
`=(2)/(pi)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise 2.6|9 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.7|7 Videos

  • LIMITS

    CENGAGE|Exercise Exercise 2.4|5 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto1) ("cos"(pi)/(2)x)/(1-sqrt(x))

Evaluate lim_(xtooo) 2^(x-1)tan((a)/(2^(x))).

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

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).

Evaluate lim_(xto0)(1-cos4x)/(x^(2))

Evaluate lim_(xto1) ((2x-3)(sqrt(x)-1))/(2x^(2)+x-3).

Evaluate lim_(xto0) (tan2x-x)/(3x-sinx).

Evaluate lim_(xto1)(1+(x-1)^(2))/(1+x^(2))

Evaluate lim_(xto1) ((2)/(1-x^(2))-(1)/(1-x)).

Evalaute lim_(xto1) (1+logx-x)/(1-2x+x^(2))