Question

The approximate value of $(1.0002{)}^{3000}$ is

• A. $1.2$
• B. $1.4$
• C. $1.6$
• D. $1.8$

Answer 1

The correct option is C $1.6$

For very large value of $n$ and very small value of $x$
$(1+x{)}^n\cong 1+nx$
Now $(1.0002{)}^{3000}\cong (1+.0002{)}^{3000}$
$\cong 1+3000\times .0002\cong 1.6$