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Differential Calculus

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4 Apr 2009 16:55:38 IST

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continuity

None

The function f(x)=|2 sgn (2x)| +2 has....?

a)jump discontinuity

b) removal discon.

c)infinite disc.

d)no disc. at x=0

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AIR 538 Asish

Blazing goIITian

Joined: 29 Nov 2008

Posts: 1137

4 Apr 2009 17:00:11 IST

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lsgn(2x)l = 1 when x is not zero and 0 when x=0 ... so 2lsgn(2x)l+2 = 4 when x is not zero and 2 when x=0 .. so there is disc. at zero ..

saharsha kumar keshkar

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Joined: 7 Aug 2008

Posts: 1104

4 Apr 2009 17:04:22 IST

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acc to ur ques....

At x=0

hence it has removal discontinuity...i.e option (b)

sahil sharma

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Joined: 28 Mar 2009

Posts: 25

4 Apr 2009 17:25:45 IST

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thanx:) bro!

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