What is the local linearization of #e^sin(x)# near x=1?
# f(x) ~~ 1.2534x+1.0664 #
Let:
Where we have rounded to 4dp.
Example:
And the linear approximation gives us:
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The local linearization of (e^{\sin(x)}) near (x = 1) is (e^{\sin(1)} + \cos(1) \cdot (x - 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.
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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