0

Guest

Courses New

Limit of tan [x]/x when x>0. [K] represents the largest integer less than or equal to k

Limit of tan [x]/x when x>0. [K] represents the largest integer less than or equal to k

Grade:12

1 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
7 years ago
ok we have to solve this by first principles
when
x → 0+
=> [x] = 0 (exact)
and hence
[x]/x = 0 (exact) => lim x->0+ (tan[x]/x) = 0
now
when
x → 0-
=> [x] = -1 (exact)
hence
[x]/x → – infinity
=> lim x-> 0- (tan[x]/x) = undefined

thus limit does not exist

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More