What is the limit when x approaches 0,
(1/x)-(1/x^2+x)?

answer key says: 1

using a graph calculator i see its negative infinity

anythoughts or steps to use?

Question

What is the limit when x approaches 0,
(1/x)-(1/x^2+x)?

answer key says: 1

using a graph calculator i see its negative infinity

anythoughts or steps to use?

turingtest · Answer

$$\lim_{x \rightarrow 0}{1 \over x}-{1 \over x^2+x}$$???

anonymous · Answer

yes that is the setup, sorry if i formatted incorrectly

turingtest · Answer

Can you combine the fractions?
once you've done that L'hospital's rule takes care of it.

turingtest · Answer

The limit is 1 by the way, not sure what you put in you calculator, but if you wrote it as above it is the wrong syntax.

anonymous · Answer

Thank you, now it makes sense.

turingtest · Answer

good, congratulations and happy new year :)

anonymous · Answer

HAPPY NEW YEAR!!!! haha

anonymous · Answer

happy new years eve and u should give him a medal