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## Homework Statement

Find the sums of the following series:

S1=1+(x^3)/(3!)+(x^6)/(6!)+...

S2=x+(x^4)/(4!)+(x^7)/(7!)+...

S3=(x^2)/(2!)+(x^5)/(5!)+(x^8)/(8!)+...

## Homework Equations

Perhaps Taylor series?

## The Attempt at a Solution

I spotted that adding S1+S2+S3=e^x, but I don't know how to proceed.

Thanks in advance for helping. :-)

(Our teacher did warn us that this is a tough question.)