0

Guest

Courses New

A question from limits . could you please tell how to solve this problem

A question from limits . could you please tell how to solve this problem

Question Image
Grade:12

1 Answers

Aditya Gupta
2081 Points
2 years ago
So I assume we have to find the limit of f(x) as.x tends to 0.
Right hand limit RHL= Lt x tends to 0+ x/(1+e^(1/x))
= 0/(1+ infinity)= 0/infinity= 0
Similarly LHL= Lt x tends to 0- x/(1+e^(1/x))
= 0/(1+0)= 0
Note that we have used results like e^(-infinity)= 0 and e^infinity= infinity and 1/x= infinity when x tends to 0+ while 1/x= - infinity when x tends to 0-.
Hence the limit at 0 exists and is equal to 0
Or Lt x tends to 0 f(x)= 0
KINDLY APPROVE :))

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

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