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Home › AP EAPCET (Engineering) › Mathematics › Trigonometry: Hyperbolic Functions › Find the limit of (cosh x - 1)/x² as x tends to 0.

Find the limit of (cosh x - 1)/x² as x tends to 0.

A1
B1/4
C0
D1/2
Answer & Solution
Correct answer: D. 1/2
cosh x - 1 = x²/2 + x⁴/24 + ..., so dividing by x² leaves 1/2 in the limit.
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