1)

Determine whether or not the following limits exist. Justify your answers:

A) Lim x->0+ (1/x)

B) Lim x->0+ |sin(1/x)|

C) Lim x->0+ xsin(1/x)

2)

Determine the following limits:

A) Lim x->1 (x^3+5)/(x^2+2)

B) Lim x->1 (sqrt(x)-1)/(x-1)

C)Lim x->0 (x^2 + 4x)/(x^2+2x)

D) Lim x->0 (sqrt(4+x) - 2)/x

E) lim x->0- 4x/|x|