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tatiyna
3 years ago
8

CALCULUS HELP> I really need help?

Mathematics
1 answer:
rjkz [21]3 years ago
4 0

Answer:

L(997) = 0.001003

Step-by-step explanation:

L(x) = f(a) + f'(a)(x-a)

f'(x) = \frac{-1}{x^2}

a = 1000

x = 997

L(997) = f(1000) + f'(1000)(997-1000)

L(997) = (1/1000) + (-1/(1000^2))*(-3)

L(997) = \frac{1}{1000} + \frac{3}{1000000}

L(997) = 0.001003

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