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1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : 9/10 / 9/10

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Detailed Solution

सही उत्तर 9/10 / 9/10 है।

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Question:

/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 = ? / 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 = ?

1.
9/10 / 9/10
2.
1 / 1
3.
10/9 / 10/9
4.
1/10 / 1/10

Correct Answer: 9/10 / 9/10

Each term = 1/(k(k+1)) = 1/k − 1/(k+1), so the sum telescopes to 1 − 1/10 = 9/10. / प्रत्येक पद = 1/(k(k+1)) = 1/k − 1/(k+1), अतः योग संकुचित होकर 1 − 1/10 = 9/10 रहता है।

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