# How do you find the linearization of #e^sin(x) # at x=1?

Hence

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To find the linearization of ( e^{\sin(x)} ) at ( x = 1 ), first find the first derivative of ( e^{\sin(x)} ) with respect to ( x ), then evaluate it at ( x = 1 ) to find the slope of the tangent line, and finally use the point-slope form of a line to write the equation of the tangent line.

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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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