For what value of k is the function f(x)= sin 5x+3x + cos x and f(x) =k continuous at x=0 - Maths - Continuity and Differentiability

Question

For what value of k is the function f(x)= sin 5x+3x + cos x and
f(x) =k continuous at x=0

Rishabh Mittal · Accepted Answer

Dear Student,

fx=sin 5x +3x + cos xFor x=0f 0=sin 50+30+cos 0=1   
1andfx=k⇒f0=k   
2From 1 and 2k=1   ANS

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