1. find lim(as x approaches positive infinity) of
2x+xsin(3x)
5x^2-2x+1
2. Find the horizontal,vertical, and slant asymptotes of:
y= x^3-X^2+10
3x^2-4X
Any help would be greatly appreciated, Thank YOU
Hello, Khaali91!
1. Find the horizontal, vertical, and slant asymptotes of:
For a horizontal asymptote, consider
Divide top and bottom by
Then: .
. . There is no horizontal asymptote.
For vertical asymptotes, determine when the denominator equals zero.
We have: .
The vertical asymptotes are: .
For slant asymptotes, consider
We have: .
Therefore, the slant asymptote is: .