Q. 455.0( 2 Votes )

If the function f(x), defined below is continuous at x = 0, find the value of k:


Answer :

we have to find the value of 'k'


Given:


f(x) is continuous at x = 0 & f(0) = k


If f(x) is be continuous at x = 0,then,


f(0)=f(0) + = f(0)


LHL = f(0) =





cos(0) = 1







(1)2


1


RHL = f(0) + =






1


Since , f(x) is continuous at x = 0 & f(0) = k


And also , f(0) = f(0) + = f(0)


So ,k = 1


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