Question

When you add 1 to a number, the answer is always larger than the original number

Answer 1

Yes for all n not equal to infinity

Explanation:

Examples:

n < n+1

let n = 2

2 < 3

let n = -3

-3 < -2

let n = 2i + 5

2i + 5 < 2i + 6

infinity + 1 is still equal to infinity.

We can take the limit:

lim x->infinity

x + 1 = x(1+1/x)

we know that 1/infinity = 0

x + 1 = x(1+0) = x = infinity