MCQ
$\lim_{x \rightarrow 0}\left(\frac{3x^{2}+2}{7x^{2}+2}\right)^{\frac{1}{x^{2}}}$
- ✓$\frac{1}{e^{2}}$
- B$e$
- C$e^{2}$
- D$\frac{1}{e}$
$\lim_{x \rightarrow 0}\left(\frac{3x^{2}+2}{7x^{2}+2}\right)^{\frac{1}{x^{2}}}$
$\lim_{x \rightarrow 0}\left(1+\frac{3x^{2}+2}{7x^{2}+2}-1\right)^{\frac{1}{x^{2}}}$
$\lim_{x \rightarrow 0}\left(1+\frac{-4x^{2}}{7x^{2}+2}\right)^{\frac{1}{x^{2}}}$
$e^{\lim_{x \rightarrow 0}\left(-\frac{4x^{2}}{7x^{2}+2}\right){\frac{1}{x^2}}}$
$e^{-\frac{4}{2}}$
$e^{-2}$
$\frac{1}{e^{2}}$
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