Infinite Limits.

So, I'm currently studying for another maths exam, that I absolutely HAVE TO pass! And I've been studying limits, rational functions, non zero over zero, all that fun stuff that I hold so very close to my heart, and I got stuck on this one. It looked really simple, it was just a normal exponential function, but I somehow could NOT get the right answer. I literally spent like an HOUR looking at different ways to do it (it was even too simple to use L'hospital's rule!!!).. EVENTUALLY I realise that 1/4^infinity is equal to 0!!! Who would've thought!!!!!!

Now to study continuity, derivatives, Taylor & Mclaurin..The works.
HELP!!