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Item 1751

Discontinuity? Asymptote? or What?

Consider the following graph of \( y=\sqrt{x} \)
What is happening at (0,0)?




Is \( x=0 \) an asymptote?
Is this a jump discontinuity at \( x=0 \)?
Point discontinuity?
Asymptote discontinuity?
Infinite Discontinuity?
Tangent?

Do we need a new term?

What do you think?



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T.R.Milne
CALC

Source: T.R.Milne
Class discussion.
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