Question

Use graphs and tables to find the limit and identify any vertical asymptotes the function.

limit of 1 divided by the quantity x minus 10 squared as x approaches 10

The answer I got was negative infinity, x = 10.
Can someone just check to see if that's right?

Answer 1

@phi

Answer 2

can you post these as equations? it's tough to decipher when spelled out.
\[ \lim_{x\rightarrow 10} \frac{1}{(x-10)^2}\] ?

Answer 3

Yes that's what it looks like. My bad.

Answer 4

it approaches divide by 0, so infinity. but no matter what x is , (x-10)^2 is positive, so I don't see how to get negative infinity.

Answer 5

So infinity would be positive?

Answer 6

yes

Answer 7

The vertical asymptote is x = 10 though?

Answer 8

@phi

Answer 9

@SolomonZelman

Answer 10

yes

Answer 11

Thank you