When taking the limit of a rational expression, if x approaches +/- infinity, you can disregard all but the coefficients of the highest powers.
Therefore you have,
Now, you can see what it is?.
As x approaches 0, look close, can you see it?.
I need help solving what I think is a pretty simple limits questions, but I just can't see where to start.
I need to find:
the lim as x goes to infinity of (3x^2+2x+2)/(4x^2+2x+7)
and the lim as x goes to zero of the same function
The limit as x goes to 0 should be simple. Both the numerator and denominator are continous functions on all real numbers (ie. the domain in both cases is all real numbers) and the denominator is not 0 for x = 0, so effectively all you need to do is substitute 0 for x in the expression.Originally Posted by afn2