# For a continuous function (let's say f(x)) at a point x=c, is f(c) the limit of the function as x tends to c? Please explain.

Yes, by definition

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Yes, for a continuous function f(x) at a point x=c, f(c) is indeed the limit of the function as x tends to c. This is known as the continuity property of functions. In simpler terms, if a function is continuous at a specific point, it means that the value of the function at that point is equal to the limit of the function as x approaches that point.

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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 each of the following limits, if it exists #lim (3x^2+5x-2)/(x^2-3x-10)# as #x-> -2#?
- How do you evaluate #(sin2h*sin3h) /( h^2)# as h approaches 0?

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