Paragraph for below question- - - - - - -Consider the function fx - - tan x-sin x - x 0 - fx - - tan x-sin x - x 0 - - - -Q- If fx is continuous at x - 0- then the value of b is equal to- - - x - 0 - fx - - - b - - - -

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Continuity of a Function

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नीचे दिए गए प्रश्न के लिए अनुच्छेद

Consider the function $f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{tan x}{sin x} & , & x < 0 a & , & x = 0 \frac{b {log}_{e} (1 + 2 x)}{x} & , & x > 0 \end{matrix}$

फलन $f (x) = ⎧ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎩ \begin{matrix} \frac{tan x}{sin x} & , & x < 0 a & , & x = 0 \frac{b {log}_{e} (1 + 2 x)}{x} & , & x > 0 \end{matrix}$ पर विचार कीजिए।

Q. If f(x) is continuous at x = 0, then the value of b is equal to

प्रश्न - यदि x = 0 पर f(x) सतत है, तब b का मान बराबर है

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–1

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\frac{1}{2}

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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}

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}

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