Question

CALCULUS HELP> I really need help?

Answer 1

L(997) = 0.001003

Explanation:

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

f'(x) =
`(-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) =
`(1)/(1000)` +
`(3)/(1000000)`

L(997) = 0.001003