Examples of removable and non removable discontinuities to find limits

👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity.
A discontinuity is removable when the denominator can be factored such that the factor that makes the function discontinuos can be cancelled out with its common factor in the numerator. Otherwise the discontinuity is not removable.
A discontinuity is said to be a jump discontinuity when the function approaches a certain point both from the left and from the right but the function is not defined at that point.

Organized Videos:
✅The Limit
✅Evaluate Limits of Complex Fractions
✅Evaluate Limits of Polynomials
✅Evaluate Limits of Rational Expressions
✅Evaluate Limits with Square Roots
✅Evaluate Limits with Trig
✅Limits of Piecewise Functions
✅Evaluate Limits with Transcendentals
✅Evaluate Limits Difference Quotient
✅Evaluate Limits from a Graph
✅Evaluate Limits of Absolute Value
✅Evaluate Limits of Square Root
✅Holes and Asymptotes of Rational Functions
✅Learn about Limits
✅Find the Value that makes the Function Continuous
✅Is the Functions Continuous or Not?
✅Evaluate Limits using a Table of Values
✅Evaluate Limits at Infinity

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[StudywithmeinPakistan]

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[otwabalabrehhons]

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[alecj]

Would piece wise be considered removable or nonremovable
Ex)|x-1|/(x-1)

[XxFriendsForeverxX]

So for the last problem, would that be considered continuous even though there are asymptotes?