Project ForgeEngineering Mathematics
Numerical Methods
GATE 2012
Easy
For the function f(t)=e^(−t/τ), the Taylor series approximation for t≪τ is
- A1+t/τ
- 1−t/τ
- C1−t²/(2τ²)
- D1+t
Explanation
e^(−t/τ)=1−t/τ+(t/τ)²/2!−... For t≪τ, the leading-order (first-order) approximation is 1−t/τ.
Source: GATE CH 2012 (2012)
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