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How to graphically plot

$$ x(t) = \sum_{n=-\infty }^\infty e^{-|t-2n|}$$

Please tell me how to plot the graph of the above function. Also please suggest some online tool where I can ploot this. I am having difficulty in plotting this as it involves two variables n and t.(It would be of great help if you would plot the graph from online graph plotters and paste the link here).thank you

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    Well... first *compute* this as a periodic function with period $2$ such that, for every $t$ in $[0,2]$, $$x(t)=\frac{\cosh(t-1)}{\sinh(1)}$$ then plot the function. – 2017-02-15
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    "(algebraic-graph-theory)" ?? – 2017-02-15
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    couldnt find any approprate tag related to graphs. Thought this might be the one. :( – 2017-02-15
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    Why is this function periodic? – 2017-02-15
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    This is not (an appropriate tag). *Reading* the info of the tags would be a plus... – 2017-02-15
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    "Why is this function periodic?" Tell me. – 2017-02-15
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    The function will be periodic with period 2 if x(t+2)=x(t). I cant understand mathematically why that happens? – 2017-02-15
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    and in fact, that is so: consider that $n$ spans from $- \infty$ to $+ \infty$, thus changing $n$ with $n+1$ ... – 2017-02-15
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    @Did Sir. From concepts of signal processing, I can understand that the function $e^{-|t|}$ will be shifted by two units for every n ranging from $-\infty$ to $+\infty$. Can you show us mathematically why $ \sum_{n=-\infty }^\infty e^{-|t+2-2n|}=\sum_{n=-\infty }^\infty e^{-|t-2n|}$. – 2017-02-15
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    Quite generally, for every fixed $k$, $$\sum_{n=-\infty}^\infty a_n=\sum_{n=-\infty}^\infty a_{n+k}$$ – 2017-02-15

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