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Grade: 11
        
 
ques1   lim [ 41/n-1/31/n-1]
            n_#
ques2   lim etanx-ex/tanx-x
           n_0
4 years ago

Answers : (1)

Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
							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

4 years ago
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