Find the value of \(\rm \lim_{x\rightarrow 5} \frac{x^2 - 25}{x^2-2x-10}\)

  1. -1
  2. 0
  3. 1

Answer (Detailed Solution Below)

Option 3 : 0
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Detailed Solution

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Concept:

To get the value of the limit, the given limit value needs to put first in the given function.

Calculation:

Given,

\(\rm \lim_{x→ 5} \frac{x^2 - 25}{x^2-2x-10}\)

Putting the value x → 5 we get,

\(\rm \lim_{x\rightarrow 5} \frac{5^2 - 25}{5^2-2\times 5-10}\)

\(\rm 0 \over 5\) 

= 0

So, the answer is 0.

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