# Find the value of 'k' if the function - Mathematics and Statistics

Sum

Find the value of 'k' if the function

f(X)=(tan7x)/(2x) ,  "for " x != 0

=k,            for x=0

is continuos at x=0

#### Solution

Given

f(X)=(tan7x)/(2x) ,

=k

f(0)=k

Now lim_(x->0)f(x)= lim_(x->0)(tan7x)/(2x)

 = lim_(x->0)(tan7x)/(7x) (7/2)

 =1xx 7/2

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

lim_(x->0)f(x)=f(0)=k

k=7/2

Concept: Continuous Function of Point
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