Question

Use the linearization (1+x)^k=1+kx to approximate 1.002^100

Answer 1

1+(0.002)100
=1.2

Answer 2

(1.002)=(1+0.002)
so x=0.002
linearization:
1+(0.002)100=1.2

Answer 3

Thank you! So x is the base and k is the exponent?

Answer 4

x+1 is the base and k is the exponent in the original equation, but when it is linearized k becomes a coefficient.

Answer 5

Okay okay I see now. Thank you