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How do you find the limit of #f(x)= 1/x^2 # as x approaches infinity?

Answer 1

Christopher Allers

#lim_(x->oo) 1/(x^2) = 0#

As x tends to infinity, the numerator will remain constant. Basically this means we have

#1/(lim_(x->oo) x^2)#

In this limit, we will tend towards #1/(oo)^2# which obviously tends to zero. Hence limit is zero.

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Answer 2

Axel Alvarez

To find the limit of f(x) = 1/x^2 as x approaches infinity, we can use the concept of limits. As x approaches infinity, the value of f(x) approaches zero. Therefore, the limit of f(x) as x approaches infinity is 0.

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Answer from HIX Tutor

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.