Question

find the value of k,
f(x)=tan7x/2x, x≠0
=k, for x=0
is continous at x=0
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Answer 1

hope it helps you buddy!!

Answer 2

Answer:

given : f(x)= tan 7x/ 2x,

f(0)= k

now, lim f(x) = lim(x-0) tan 7x/2x

= lim(x-0) tan 7x/2x (7/2)

= 1(7/2)

= 7/2

as function f(x) is continuous at x=0

limf(x)= f(0)= k

k=7/2