# What is the limit of #sinx / x# as x goes to infinity?

By Squeeze Theorem, this limit is 0.

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Random advanced footnote

Hence by the Weierstrass factorisation theorem:

Finding this sum was the Basel Problem, set by Pietro Mengoli in 1644 and solved by Leonard Euler in 1734.

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As the denominator gets larger and larger, we will be dividing by a larger number, which yields a smaller number.

Hope this helps!

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The limit of sinx / x as x goes to infinity 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.

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