Im trying to find the limit on the following problem
LIM(x->infinity) $\displaystyle (1/2x - 4/x^2)$
Generally I find limits when there division so im kinda stuck on this.
Thanks in advanced
Im trying to find the limit on the following problem
LIM(x->infinity) $\displaystyle (1/2x - 4/x^2)$
Generally I find limits when there division so im kinda stuck on this.
Thanks in advanced
Think of it this way; as you make $\displaystyle x$ larger and larger, the denominator gets larger and larger, and if the denominator is getting larger and larger then the fraction is approaching 0.
With danny's substitution, if $\displaystyle x$ is approaching infinity, then $\displaystyle t$ much approach 0, because if you make the denominator of a fraction smaller and smaller (essentially, as you make the denominator closer and closer to zero), the whole fraction gets larger and larger.