Browse by Stream
QnA
Home
QnA
get app
Go To Your Study Dashboard
  1. Home
  2. School
  3. Find the Limit of (1+x)^1/x - e / x as limit x-->0
# School

Find the Limit of (1+x)^1/x - e / x as limit x-->0

Answers (1)
D Deependra Verma

Solution:   We  have ,

                  lim_x o0frac(1+x)^frac1x-ex

         We ,know ,    (1+x)^frac1x=e(1-fracx2+frac1124x^2-.........)

         Hence ,    lim_x o0frace(1-fracx2+frac1124x^2-........)-ex=frace2

                

                   

Similar Questions

Latest Asked Questions

Most Viewed Questions

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
Start Now
 
Exams
Articles
Questions