#lim_(xtooo)x^3sin(1/2)#?

1 Answer
Apr 20, 2018

See explanation.

Explanation:

If the example is complete, then #sin(1/2)# is a constant and the limit changes to:

#sin(1/2)*lim_{x->+oo}x^3#

The lmit #lim_{x->+oo}x^3=+oo#, so the whole limit is also infinity:

#lim_{x->oo}x^3sin(1/2)=+oo#