Need to find the limits of the following
8x-6/4x^3+6 as x approaches infinity
square root of x^4+1/x^3+4 as x approaches negative infinity
For the first one, you just simply divide both sides of the fraction by :
This turns the limit into:
Now we use the property that the limit of a quotient is the quotient of the limits:
The numerator goes to 0 and the denominator goes to 4, so that:
As for the second one, it involves multiplication by , but it requires a little thought, basically that:
You use that and solve it exactly as I solved the first one and you should get it.