Question

Use a linear approximation (or differentials) to estimate the given number. (Use the linearization of 1/x)

1/99

Answer 1

everything deleted!

Answer 2

That's something wrong

Answer 3

huh?

Answer 4

Let me redo it

Answer 5

ok thanks

Answer 6

L(100)=F(100)+F'(100)(-1)
0.0101

Answer 7

Let F(x)=1/x, we know F(100) but we want to know F(99) so we use linearization
L(x)=F(x)+F'(x)dx
1/x - 1/x^2 (-1)
dx is -1 because we are going from 100 to 99

Answer 8

so what is x

Answer 9

99 is x?