Practice Question on Computing the Fourier Transform of a Continuous-time Signal

Compute the Fourier transform of the signal

$  x(t)= \sum_{k=-\infty}^\infty f(t+2k)  $, where 

$ f(t)=\left\{ \begin{array}{ll} t+1, & \text{ for } -1 \leq t <0, \\ 1-t, & \text{ for } 0 \leq t <1, \\ 0, \text{ else}. \end{array} \right. \ $

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