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ques1 lim [ 4 1/n -1/3 1/n -1] n_# ques2 lim e tanx -e x /tanx-x n_0

 
ques1   lim [ 41/n-1/31/n-1]
            n_#
ques2   lim etanx-ex/tanx-x
           n_0

Grade:11

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
1.
0/0 form L hospital rule

lim n_# 41/n(-1/n2)ln4/ 31/n(-1/n2)ln3=ln4/ln3

2. write series expansion of e^x
lim n_0 (1+tanx+...)-(1+x+...)/(tanx-x)
lim n_0 (tanx-x)+....../(tanx-x)
rest of the term will be zero because a^n-b^n has factor a-b always

so value of limit is 1

Sher Mohammad
faculty askiitians

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