Question

f(x)={sin2x/x at x not equal to 0 1 at x=0​

Answer 1

I think the question is

Check the continuity of the given function

f(x) = sin2x/x at x ≠ 0 and 1 at x = 0

Its solution is:-

At x ≠ 0,

$f(x) =\frac{sin2x}{x} = \frac{2sin2x}{2x} = 2$

At x = 0,

$f(x) = 1$

Since, limit of f(x) at x = 0 is not equal to value of f(x) at x = 0

Hence, the given function is discontinuous.

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