Q.30 Let f(x)=log1+xa - log1-xbx,x≠0. Find the value of f at x=0 so that f becomes continous at x=0.

Q.30 Let $f (x) = \frac{\log (1 + \frac{x}{a}) - \log (1 - \frac{x}{b})}{x}, x \neq 0$ . Find the value of f at x=0 so that f becomes continous at x=0.

$f (x) = \{\begin{matrix} \frac{\sin (a + 1) x + \sin x}{x}, f o r x < 0 \\ x, f o r x = 0 \\ \frac{\sqrt{x + b x^{2}} - \sqrt{x}}{b x^{\frac{3}{2}}}, f o r x > 0 \end{matrix}$

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Q.30 Let f(x)=log1+xa - log1-xbx,x≠0. Find the value of f at x=0 so that f becomes continous at x=0.

f(x)=sina+1x+sinxx, for x<0x, for x=0x+bx2-xbx32, for x>0

Q.30 Let $f (x) = \frac{\log (1 + \frac{x}{a}) - \log (1 - \frac{x}{b})}{x}, x \neq 0$ . Find the value of f at x=0 so that f becomes continous at x=0.

$f (x) = \{\begin{matrix} \frac{\sin (a + 1) x + \sin x}{x}, f o r x < 0 \\ x, f o r x = 0 \\ \frac{\sqrt{x + b x^{2}} - \sqrt{x}}{b x^{\frac{3}{2}}}, f o r x > 0 \end{matrix}$