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Continuity of a Function

Given fx = [ ...

Question

Given $f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{sin x}{2 x} & , & x < 0 a & , & x = 0 \frac{1 - cos 2 x}{b x^{2}} & , & x > 0 \end{matrix}$

If f(x) is continuous at x = 0, then which of the following is/are correct?

दिया है $f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{sin x}{2 x} & , & x < 0 a & , & x = 0 \frac{1 - cos 2 x}{b x^{2}} & , & x > 0 \end{matrix}$

यदि x = 0 पर, f(x) सतत है, तब निम्नलिखित में से कौनसा/कौनसे विकल्प सही है/हैं?

a = 1

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b = \frac{1}{4}

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a = \frac{1}{2}

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b = 4

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Solution

The correct option is D b = 4

Solution

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