Grade 11Differential Calculus
ques1 lim [ 41/n-1/31/n-1] n_#ques2 lim etanx-ex/tanx-x n_0
ques1 lim [ 41/n-1/31/n-1]
n_#
ques2 lim etanx-ex/tanx-x
n_0
1 Answer
Sher Mohammad
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
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