MCQ
જો $\lim_{x \rightarrow 0} \frac{\log \left( 3+x \right)-\log \left( 3-x \right)}{x}=k$ તો $k=...........$
- A$\frac{-1}{3}$
- B$\frac{-2}{3}$
- ✓$\frac{2}{3}$
- D$0$
$\lim_{x \rightarrow 0}\frac{log(3+x)-log(3-x)}{x}=k$ $(\because (\frac{0}{0})$) from L' hospital rule
$\therefore \lim_{x\rightarrow 0}\frac{\frac{1}{3+x}+\frac{1}{3-x}}{1}=k$
$\therefore k=\frac{1}{3}+\frac{1}{3}$
$\therefore k=\frac{2}{3}$
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| વર્ગ: | $0-6$ | $6-12$ | $12-18$ | $18-24$ | $24-30$ |
| આવૃતિ: | $a$ | $b$ | $12$ | $9$ | $5$ |
જો મધ્યક $=\frac{309}{22}$ અને મધ્યસ્થ $=14$, હોય તો $(a-b)^{2}$ ની કિમંત મેળવો.