find the limit

Question

lim x^2+x / x^5 + 2x^4 + x^3 as::

a) x=0+
b) x=-1-

Answer 1

x/x^3 = 1/x^2 becomes 0 as x-->0

look at derivatives
(2x+1)/(5x^4+8x^3+3x^2)

-1/(5-8+3) --->oo