# Math Help - limits

1. ## limits

May I in the following cases:

1. lim x=>a(2x2+3x+1)/x2=2
2. lim x=>a(-2x+(2x2+3x+1)/x)=3
a is infinity.

simply first divide by the denominator and then let x goes to infinity or, am I suppose first to take x out of the numerator then cancel the x(both at the numerator and denominator ) and just then let the x goes to infinity?

Thanks in advance...

2. ## Re: limits

Originally Posted by jojo7777777
simply first divide by the denominator and then let x goes to infinity or, am I suppose first to take x out of the numerator then cancel the x(both at the numerator and denominator ) and just then let the x goes to infinity?
The two ways you are describing amount pretty much to the same thing. The main point being able to justify finding the limit using the theorems at your disposal, such as the fact if limits of f and g exist, then the limit of (f + g) exists and is the sum of limits.

3. ## Re: limits

Thank you very much for your help...