Using mathematical induction, prove that: If abe N, and 0< a < b,then a" < b",Vn E N ww

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ISBN:9780470458365
Author:Erwin Kreyszig
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This is not writing question. This is from Discrete Maths and Real Analsysis. So, do not reject question this time. 

Using mathematical induction, prove that : If a,be N, and 0 < a < b, then a" < b",Vn EN
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Transcribed Image Text:Using mathematical induction, prove that : If a,be N, and 0 < a < b, then a" < b",Vn EN wwwv
Expert Solution
Step 1

If a,b and 0<a<b, then an<bn, n.

To prove the statement using, ,mathematical induction, first prove the statement for n=1.

When n=1,

an=a<bn=b because given that a<b.

Now, suppose that, the statement is true for n=k.

That is, ak<bk.

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