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If f(x) = {{:(x - [x]",",x !in I),(1",",...

If `f(x) = {{:(x - [x]",",x !in I),(1",",x in I):}` where I is an integer and [.] represents the greatest integer function and
`g(x) = underset(n rarr oo)(lim) ({f(x)}^(2n)-1)/({f(x)}^(2n)+1)`, then
(a) Draw graphs of f(2x), g(x) and g{g(x)} and discuss their continuity.
(b) Find the domain and range of these functions.
(c) Are these functions periodic ? If yes, find their periods.

A

0

B

1

C

`-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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