Home
Class 12
MATHS
Let f(theta)=1/(tan^2theta){(1+tantheta)...

Let `f(theta)=1/(tan^2theta){(1+tantheta)^3+(2+tantheta)^3+......+(10+tan theta)^3}-10 tan theta` Then, `lim_(theta->pi/2)f(theta)` is equal to

A

`170`

B

166

C

165

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

Let f(theta)=(1)/(tan^(2)theta){(1+tan theta)^(3)+(2+tan theta)^(3)+......+(10+tan theta)^(3)}-10tan theta Then,lim_(theta rarr(pi)/(2))f(theta) is equal to

Let f(theta)=(1)/(tan^9 theta){(1+tantheta)^10+(2+tantheta)^10+....+(20+tantheta)^10}-20tan theta The left hand limit of f(theta)" as "theta to (pi)/(2) ,is

tantheta+tan2theta=tanthetatan2theta=1

lim_(theta rarr0)(3tan theta-tan3 theta)/(2 theta^(3))

If: tan theta + tan 2theta = tan 3theta , then: theta =

tantheta+tan2theta=tan3theta

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

(tan^(2)(2 theta)-tan^(2)theta)/(1-tan^(2)(2 theta)tan^(2)theta) is equal to-

If tan 3 theta + tan theta =2 tan 2 theta , then theta is equal to (n in Z)