Mathematics · 2015
JEE Main · 11 April 2015, Shift 1 · Q70
Let k be a non-zero real number. If f(x)= {(( e^x-1)^2)/(sin (x/k) log (1+x/4)), x ≠ 0; 12, x=0} is a continuous function, then the value of k is:
Let k be a non-zero real number. If
$$f(x)=\left\{\begin{array}{cc}
\frac{\left(\mathrm{e}^x-1\right)^2}{\sin \left(\dfrac{x}{\mathrm{k}}\right) \log \left(1+\dfrac{x}{4}\right)}, & x \neq 0 \\
12, & x=0
\end{array}\right.
$$
is a continuous function, then the value of k is :
Official answer
(3)
$\displaystyle 3$
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JEE Main 2015 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.