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Home › AP EAPCET (Engineering) › Mathematics › Algebra: Partial Fractions › Adding 1/(1x2) + 1/(2x3) + 1/(3x4) + ... without…

Adding 1/(1x2) + 1/(2x3) + 1/(3x4) + ... without end gives

A1/2
B3/2
C1
D2
Answer & Solution
Correct answer: C. 1
Each term is 1/n - 1/(n+1), so the terms telescope and the sum tends to 1.
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