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Question: Answered & Verified by Expert
$\lim _{x \rightarrow 1} \frac{x-1}{2 x^2-7 x+5}=$
MathematicsLimitsJEE Main
Options:
  • A $1 / 3$
  • B $1 / 11$
  • C $-1 / 3$
  • D None of these
Solution:
1788 Upvotes Verified Answer
The correct answer is: $-1 / 3$
$\lim _{x \rightarrow 1} \frac{x-1}{(x-1)(2 x-5)}=-\frac{1}{3} .$
Aliter : Apply L-Hospital's rule.
So, \(\lim _{x \rightarrow 1} \frac{1}{4 x-7}=-\frac{1}{3} .\)

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