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Question: Answered & Verified by Expert
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
MathematicsLimitsAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)
Options:
  • A $x^3-3 x^2+2=0$
  • B $x^3+5 x^2-8 x+2=0$
  • C $x^3-5 x^2+8 x-4=0$
  • D $x^3+3 x^2-4=0$
Solution:
2147 Upvotes Verified Answer
The correct answer is: $x^3-5 x^2+8 x-4=0$
No solution. Refer to answer key.

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