\(\rm \lim_{x\rightarrow 5} \frac{x^2 - 25}{x^2-2x-10}\) का मान ज्ञात कीजिए।

  1. -1
  2. 0
  3. 1

Answer (Detailed Solution Below)

Option 3 : 0
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अवधारणा:

सीमा के मान प्राप्त करने के लिए दिए गए सीमा मान को दिए गए फलन में पहले रखना होगा।

गणना:

दिया हुआ,

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

x → 5 मान रखकर हम प्राप्त करते हैं

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

= \(\rm 0 \over 5\)

= 0

तो, उत्तर 0 है।

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