Question

If function, f(x) = \(\begin{cases} \frac{sin(m + 1)x + sinx}{x}; & x < 0\\\frac{1}{2};& x = 0\\ \frac{x^{\frac{3}{2}} + 1}{2}&x > 0 \end{cases}\) is continuous at x = 0, then find m.

Answer 1

At x = 0

Left hand limit