
Grade 7Differential 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

f: [-5,5]→[3,18] Surjective & differentiable f
g(x) = f(x) f'(x) Twice differentiable fr
g(0)=k Find least integral value of k such that there always exists some CEES✓ f" to satisfy (f' * (c)) ^ 2 =-f(c)f^ prime prime (c) \&(f(c))^ 2 f^ prime prime (c) < 3 * (f' * (c)) ^ 3
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