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Is my impulse response right? By definition,the impulse response is the output when the input is a impulse signal,so

$y[n]=\sum\limits ^{n}_{k=-\infty}\frac{1}{2^{n-k}}\ x[k]$,the impulse response of $y[n]=\sum\limits ^{n}_{k=-\infty}\frac{1}{2^{n-k}}\ \delta[k]$ ,Is my thinking right?

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