# What is the limit of #sin(6x)/x# as x approaches 0?

So.

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The limit of sin(6x)/x as x approaches 0 is 6.

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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 are the removable and non-removable discontinuities, if any, of #f(x)=(x-2)/(x^2 + x - 6)#?
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- How do you use the epsilon delta definition to find the limit of #x^2 cos(1/x)# as x approaches #0#?
- What does vertical asymptote mean?
- What is the limit of # ( (5x^2 - 4x) / (2x^2 + 3) ) # as x approaches infinity?

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