Question

CALCULUS HELP> I really need help?

Answer 1

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