MCQ
$\lim_{x \rightarrow 1} \frac{{{x}^{365}}-365x+364}{{{\left( x-1 \right)}^{2}}}=......$
- ✓$66463$
- B$64340$
- C$66630$
- D$66435$
$\lim_{x \rightarrow 1} \frac{{{x}^{365}}-365x+364}{{{\left( x-1 \right)}^{2}}}$
$=\lim_{x \rightarrow 1} \frac{{{x}^{365}}-1-365x+365}{{{\left( x-1 \right)}^{2}}}$
$=\lim_{x \rightarrow 1} \frac{(x-1)\left({x}^{364}+{x}^{363}+......+1\right)-365(x-1)}{{{\left( x-1 \right)}^{2}}}$
$=\lim_{x \rightarrow 1} \frac{\left({x}^{364}+{x}^{363}+......+1\right)-\left(1+1+1+...(365 time)\right)}{{{\left( x-1 \right)}}}$
$=66463$
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