Question

Using binomial theorem, indicate which number is larger `(1. 1)^(10000)`or 1000.

Answer 1

Using Binomial theorem, `(1.1)^10000 = (1+0.1)^100000`
` = 10000_(C_0)*1*(0.1)^0+10000_(C_1)*1*(0.1)^1+....` Here, we can see that first two terms are more than 1000. and rest are all positive values.
So, we can say that ,
`(1.1)^10000 > 1000`