Posted by **Jake** on Wednesday, February 29, 2012 at 12:09am.

Let f(x)=(2x^3-x^2+2x+1)/(x^2+1). What is the equation of the oblique asymptote of f(x)?

Can someone show me how to do the long division one for this question. I have always used synthetic division but realized there are some questions that require to do long division.

- Calculus -
**Steve**, Wednesday, February 29, 2012 at 12:08pm
as x gets very large, the higher powers dominate, making the lower powers insignificant. So, for large x,

f(x) looks very much like 2x^3/x^2 = 2x

As x gets bigger and bigger, y gets closer and closer to just 2x.

## Answer this Question

## Related Questions

- calc - I assume the poster was trying to type "oblique asymptote" from your ...
- Pre Calc (For Reiny) - Thanks so much your method worked perfectly! My solution ...
- Long and synthetic division - please check my answers and help me with the last ...
- algebra 2 - can someone please explain synthetic division to me? It's just a ...
- Long/synthetic divison - Divide using long division or synthetic division. (21x^...
- Algebra - Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1...
- Algebra - Divide using long division or synthetic division. (21x^3 - 7)/(3x - 1...
- Algebra - please help me with this question and check my answers. Solve the ...
- Algebra 2 help please :) - What is a cubic polynomial function in standard form ...
- Math 17 Synthetic Division - Using synthetic division, divide (x^6)(y^6) by x-y...