Home
Class 12
MATHS
Find the positive integer just greater t...

Find the positive integer just greater than `(1+0. 0001)^(10000)dot`

Text Solution

Verified by Experts

`(1+0.0001)^(10000) = (1+(1)/(10000))^(10000)`
Now we know that
` 2 le (1+1/(n))^(n) lt 3, n ge 1, n in N`
Hence the positive integer just greater than `(1+0.0001)^(10000)` is `3`.
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.1|17 Videos

  • BINOMIAL THEOREM

    CENGAGE|Exercise Exercise 8.2|10 Videos

  • AREA UNDER CURVES

    CENGAGE|Exercise Question Bank|20 Videos

  • BINOMIAL THEORM

    CENGAGE|Exercise Question Bank|31 Videos

Similar Questions

Explore conceptually related problems

Least positive integer just greater than (1+0.00002)^(50000) is.

Integer greater than -151 :

Write four negative integers greater than -20.

Find the number of positive integers greater than 6000 and less than 7000 which are divisible by 5, provided that no digit is to be repeated.

Let m and n be the two positive integers greater than 1 . If underset( alpha rarr 0 ) ( "lim")((e^(cos(alpha^(n)))-e)/(alpha^(m))) = -((e )/( 2)) then the value of ( m )/( n ) is

Which of the following value is just greater than [1+1/(10^100)]^(10^100)