Problem 예제.

Multiple Choice • Views 1257 • Comments 0 • Created at 2 years ago • Last Updated at 8 months ago

다음과 같은 $I(s)$ 의 초기값 $i(0_+)$ 가 바르게 구해진 것은?

$I(s) = \dfrac{2(s+1)}{s^2+2s+5}$

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-2

1/5

2/5

Solution

$\lim_{t \to 0} i(t) = \lim_{s \to \infty} s I(s)$

$\lim_{t \to 0} i(t) = \lim_{s \to \infty} s \dfrac{2(s+1)}{s^2+2s+5}= \lim_{s \to \infty} \dfrac{2s^2(1+1/s)}{s^2(1+2/s+5/s^2)}=2$

Correct answer 4