Discuss the continuity of `f(x)=sinx+cosx`

Explanation

` f(x) =sin x+cos x `



` Rightarrow sqrt{2}[frac{1}{sqrt{2}} sin x+frac{1}{sqrt{2}} cos x] quad sin (A+B)

=1 sqrt{2}[sin x cos frac{pi}{4}+cos x sin frac{pi}{4}] f(x) `



`=sqrt{2} sin (x+frac{pi}{4}) f(x) `



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