# What is the equation of the line tangent to #f(x)=sin x + cos^2 x # at #x=0#?

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The equation of the tangent line is:

The equation of the line tangent to the curve

Here:

and for

so the equation of the tangent line is:

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The equation of the line tangent to f(x)=sin x + cos^2 x at x=0 is y = 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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