Consider the function f(x)=\\begin{array}{c}{\tan kx\end{array}/x,x

UPSC NDA II 2014 Mathematics Paper

Question : 67 of 120

Marks: +1, -0

Consider the function
f(x)={

tan‌k‌x

x<0

3x+2k2,

x≥0

What is the non-zero value of k for which the function is continuous at x = 0?

[NDA II 2014]

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