Limits
Other Notable Limits
Other notable limits:
For example:
For example:
Limits as x approaches 
:
A limit as x approaches 
is solved for by looking at the largest term in numerator and denominator.
For example:
In the problem,
is the term of the highest power in the equation so all other terms will drop out as we get to ∞. This would reduce to 
. The terms cancel and we are left with 
, which equals .
Now look at, 
In the numerator is the highest power in the denominator x ² is the highest power. This would reduce to 
. The 
terms cancel and we are left with from the top and bottom and we are left with 
. As x gets to ∞ this would become 
which is ∞, so 
If the inverse was the case and the larger term was in the denominator, then the limit would be 0.
