Math Is Fun Forum

Doraemonlover

Member

Registered: 2011-12-05

Posts: 1

limit Help

is it possible to find a bounded function g:(0,10) to R that has a left-hand limit but not the right- hand limit

Last edited by Doraemonlover (2011-12-05 07:51:49)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,583

Re: limit Help

hi Doraemonlover

Welcome to the forum. 

How about g(x) = tan(pi.x/20)  ?

Oh no!  You wanted 'bounded'.

Thinking ....................................

Version 2.

g(x) = 5sin(1/(10-x))

The function oscillates more and more wildly as x approaches 10 so has no limit.

Bob

Last edited by Bob (2011-12-05 09:34:10)

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