How do you find the linear approximation of a function?

Answer 1
The linear approximation #L(x)# of a function is done using the tangent line to the graph of the function. The equation of the tangent line at #x=a# is given by
#y=f'(a)(x-a)+f(a)#,

the linear approximation is

#L(x)=f'(a)(x-a)+f(a)#.
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Answer 2

To find the linear approximation of a function, you use the formula: ( L(x) = f(a) + f'(a)(x-a) ), where ( f(x) ) is the function, ( a ) is the point at which you want to approximate, and ( f'(x) ) is the derivative of the function.

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Answer from HIX Tutor

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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