# What is the limit as x approaches 0 of #1/x^2#?

Infinity

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The limit as x approaches 0 of 1/x^2 is positive infinity.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is #lim t->-∞# of #(t^2+2)/(t^3+t^2-1)#?
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- How do you evaluate the limit of #lim (2x-8)/(x^3-64)# as #x->4#?
- Find the limit? lim x#rarr# #oo# #(10x^5+x^4+31)/(x^6)#
- For what values of x, if any, does #f(x) = sec((-15pi)/8+9x) # have vertical asymptotes?

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