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Home › TS EAMCET › Mathematics › Limits and Continuity › Rationalise to find lim(x→0) [√(1 + x) − 1]/x.

Rationalise to find lim(x→0) [√(1 + x) − 1]/x.

A1/2
B1
C0
D2
Answer & Solution
Correct answer: A. 1/2
Multiplying by the conjugate gives 1/(√(1 + x) + 1), which tends to 1/2.
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