# How do you evaluate the limit #(t+4)/(t^2+14t+49)# as t approaches #1#?

By directly substituting

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To evaluate the limit (t+4)/(t^2+14t+49) as t approaches 1, we substitute t=1 into the expression. This gives us (1+4)/(1^2+14(1)+49), which simplifies to 5/64. Therefore, the limit is 5/64 as t approaches 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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