Question

Let f(x) = \(\begin{cases} \frac{3|x| + 4tanx}{x}, \; x \neq 0\\ k,\; x = 0 \end{cases}\) is continuos at x = 0,find K

Answer 1

f(0) = k

since LHL ≠ RHL, at no value of k the fⁿ is continuous.