If f x - 3sinx-sin 3x 2x 3 -x- 0-f 0 -2- at x-0-f is

The correct option is C continous f(x)_Lt x→ 0=3sin x sin(3x)2x^3 (L Hospital) ⇒3cos x 3cos(3x)6x^2 (L Hospital again) ⇒ 3sin x+9sin(3x)12x ...

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Theorems for Continuity

If f x = 3s...

Question

If $f (x) = \frac{3 s i n x - s i n (3 x)}{{2 x}^{3}}, x \neq 0, f (0) = 2,$ at $x = 0, f$ is

discountinous

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not determined

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continous

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none

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