So this question is from one of my review practice problems for my midterm and there's no answer part for it and I was wondering how this question would be solved.
Lim x -> infinity 5x^3-2x+1 / x^4-x^3+5
Thanks!
edit: thank you!
So this question is from one of my review practice problems for my midterm and there's no answer part for it and I was wondering how this question would be solved.
Lim x -> infinity 5x^3-2x+1 / x^4-x^3+5
Thanks!
edit: thank you!
For questions like these (polynomials on the bottom), it helps to divide the numerator and denominator by term in the denominator with the highest power of x. In this case,
So we have
You can apply the limit to each individual term in both the numerator and denominator.
Now any fraction of form as for any real number a and positive integer n
You should get the resulting fraction