Q. 13 C4.3( 3 Votes )

Discuss the conti

Answer :

Idea : If f and g are two functions whose domains are same and both f and g are everywhere continuous then :


i) f + g is also everywhere continuous


ii) f – g is also everywhere continuous


iii) f*g is also everywhere continuous


iv) f/g is also everywhere continuous for all R except point at which g(x) = 0


f(x) = sin x × cos x


It is a purely trigonometric function


As sin x is continuous everywhere and cos x is also continuous everywhere for all real values of x


As f(x) is nothing but product of two everywhere continuous function


f(x) is also everywhere continuous.


We can see this through its graph which shows no point of discontinuity.



Fig : plot of sin x × cos x


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