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Find the linearization of f(x) = √√x+1 + sin x at x = 0. How is it related to the individual linearizations of √√x+1 and sin x at x = 0?

The linearization of f(x) at x = 0 is L(x) =

How is it related to the individual linearizations of √√x+1 and sin x at x = 0? Choose the correct answer below.

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O A. The linearization of f(x) is the product of the individual linearizations of √√x+1 and sin x at x = 0.

OB. The linearization of f(x) is the sum of the individual linearizations of √√x+1 and sin x at x = 0.

O C. The linearization of f(x) is the difference of the individual linearizations of √x+1 and sinx at x = 0.

O D. The linearization of f(x) is the quotient of the individual linearizations of √√x+1 and sin x at x = 0.

O E. The linearization of f(x) is not related to the individual linearizations of √√x+1 and sin x at x = 0.

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