​ If the function f(x) = (sin^2 ax/x^2, when x ≠ 0), (k, when x = 0) is continuous at x = 0 then k = ? ​A. a B. a^2 C. -2 D. -4

Question

If the function f(x) = \(\begin{cases} \frac{sin^2ax}{x^2},when\;x\neq0 \\ k, when\;x=0 \end{cases}\) is continuous at x = 0 then k = ?

f(x) = (sin²ax/x², when x ≠ 0), (k, when x = 0)

A. a

B. a²

C. -2

D. -4

Answer 1

Answer is : B. a²

F(x) is continuous at x = 0.

⇒ f(x) = a²

∴ k = a²