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## Homework Statement

Find the limit of (x^7+1)/(x+1) as x goes to -1? Also find what this means for the derivative of that function. What is the slope at point "-1"?

## Homework Equations

Use the difference of squares to factor and then cancel the bottom.

## The Attempt at a Solution

I did this and then got x^6-x^5+x^4-x^3+x^2-x+1, but when I plug in -1, I get 7. Which has to be wrong because after graphing the function, the function's slope at -1 looks like it should be negative slope. Thanks for any help.