# How do you evaluate the limit #sinx/tanx# as x approaches #0#?

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We use the Standard Form of Limit :

From the above, we have,

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To evaluate the limit of sinx/tanx as x approaches 0, we can simplify the expression using trigonometric identities. The identity tanx = sinx/cosx can be used to rewrite the expression as sinx/(sinx/cosx). Simplifying further, we get cosx. Therefore, the limit of sinx/tanx as x approaches 0 is equal to 1.

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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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- How do you evaluate the limit #x-sqrt(x^2+x)# as x approaches #oo#?
- What is the limit of # (t^2 - 64) / (2t^2 + 17 t + 8)# as t approaches -8?

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