In this lesson, we will learn how to differentiate between the three types of function discontinuity at a given point.
Q1:
Consider the function π(π₯)=ο²1βπ₯π₯<0,0π₯=0,1+2π₯π₯>0.whenwhenwhen
What is π(0)?
What is limοβο¦οͺπ(π₯)?
What is limοβο¦ο©π(π₯)?
What type of discontinuity does the function π have at π₯=0?
Q2:
Consider the function π(π₯)=β§βͺβ¨βͺβ©οΌ1π₯ο,π₯<0,0,π₯=0,1π₯,π₯>0.sinwhenwhenwhen
Q3:
Consider the function π(π₯)=π₯+π₯π₯sincoscot. Find the type of discontinuity that the function π has at π₯=π, if it has any.
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