lim sup(-xn) = - lim inf xn-

Find the limits limx→0+x-1/ln x

lim of fx/gx as x approaches -2 from the left and right.

lim as x-->0  of (x+1-cosx)/x

limx--->2^-     f(x), where f(x)=2x-5 if x <2                                                   x^2+2 if x is greater than or equal to 2

lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

lim f (x), where f (x)={18-7x for x<9                                    ={x2-3x for 9 less than or equal to As x approaches 9 from both sides

limx → 1 (x-2) / (x-1)2     how do I calculate the following limit without using the L'Hospital's rule

limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

Evaluate the limit: limx->0 (sin x)3/ln x