Question

PARAGRAPH
Among several applications of maxima and minima is finding the largest term of a sequence
Let <an> be a sequence
Consider f(x) obtained by replacing aby n eg
Let an
ni (
consider f (x) = fi on 1,00
- on [1,00)" () =
> 0
For all
Hence max f (2) = lim f (x) = 1, so the largest term of 2, > is 1.
Q Q The largest term of an = n(n+200) is​

Answer 1

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Answer 2

Let <an> be a sequence

Consider f(x) obtained by replacing aby n eg

Let an

ni (

consider f (x) = fi on 1,00

- on [1,00)" () =

> 0

For all

Hence max f (2) = lim f (x) = 1, so the largest term of 2, > is 1.

Q Q The largest term of an = n(n+200