alleryBy Taylor expansion around x = 0: e^x = 1 + x + ___:
A2x
BConvergent to e × x
Cx³
Dx²/2! + x³/3! + ... (Maclaurin series)
Answer & Solution
Correct answer: D. x²/2! + x³/3! + ... (Maclaurin series)
e^x = 1 + x + x²/2! + x³/3! + x⁴/4! + ...
Maclaurin series of e^x.
Converges for all real x.
Used in scientific computing and approximations.
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