# Find the limit as x approaches infinity of #y=sinx/x#?

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The limit as x approaches infinity of y = sin(x)/x is 0.

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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.

- How do you find the limit of #sqrt(x^2+2x)+x# as x approaches infinity?
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- How do you find the limit of #(1+7/x)^(x/10)# as x approaches infinity?
- How you solve this? #lim_(n->oo)(|__x__|+|__3^2x__|+...+|__(2n-1)^2x__|)/n^3#
- How do you determine the limit of #sin(x)/x# as x approaches infinity?

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