If the response of LTI continuous time system to unit step input is \(\left( {\frac{1}{2} - \frac{1}{2}{e^{ - 2t}}} \right)\), then impulse response of the system is

\(\left( {1 - {e^{ - 2t}}} \right)\)

\(\left( {\frac{1}{2} - \frac{1}{2}{e^{ - 2t}}} \right)\)

\(\left( {{e^{ - 2t}}} \right)\)

If the response of LTI continuous time system to unit step input is \

1.	If the response of LTI continuous time system to unit step input is \(\left( {\frac{1}{2} - \frac{1}{2}{e^{ - 2t}}} \right)\), then impulse response of the system is
A.	\(\left( {\frac{1}{2} - \frac{1}{2}{e^{ - 2t}}} \right)\)
B.	\(\left( {{e^{ - 2t}}} \right)\)
C.	\(\left( {1 - {e^{ - 2t}}} \right)\)
D.	Constant
Answer» C. \(\left( {1 - {e^{ - 2t}}} \right)\)

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If the response of LTI continuous time system to unit step input is \(\left( {\frac{1}{2} - \frac{1}{2}{e^{ - 2t}}} \right)\), then impulse response of the system is

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