If $\lim _{x \rightarrow 0} \frac{e^{2 x}-1}{5 x}=l, \lim _{x \rightarrow 1} \frac{2}{x-1} \log x=m$, then a…

If $\lim _{x \rightarrow 0} \frac{e^{2 x}-1}{5 x}=l, \lim _{x \rightarrow 1} \frac{2}{x-1} \log x=m$, then a cubic equation whose roots are $5 l, m$ and 1, is
  1. $x^3-3 x^2+2=0$
  2. $x^3+5 x^2-8 x+2=0$
  3. $x^3-5 x^2+8 x-4=0$
  4. $x^3+3 x^2-4=0$

Solution

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Asked in: AP EAMCET 2017 (24 Apr Shift 1)

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