Because this function is continuous everywhere, just simply plug in 0 and evaluate it.
I know how to solve limits numerically for these questions (Just put a number close to 0, eg. .0001), but I would like to know how to solve them algebraically:
1) lim ((2+x)^3 - 8)/x
2) lim (sin x)/(2x^2-x)
I think we have to multiply 2x by lim and 2x by sin x, but am not really sure if it's right or what to do after...
3) lim (sin^2 x)/x
P.S. Tips or tricks for limits would be appreciated.