One Sided Limits

Does the limit of the f(x) exists as x approaches 0?

• The limit DOES EXIST.

• The limit DOES NOT EXIST.

Answer explanation

Remember you can graph piecewise functions in Desmos! Use the { } to put in the domain after each function.

Determine the value of the limit

• 4

• -1

• 1

• DNE

Determine the value of the limit

• ∞

• -∞

• DNE

• 0

Determine the value of the limit

• ∞

• -∞

• DNE

• 0

Use the given function to determine the limit

• -4

• 4

• -9

• DNE

Use the given function to determine the value of the limit

• DNE

• -12

• 10

• 0

 $The\ \lim_{x\rightarrow0}f\left(x\right)\$ fails to exist because...

• As the function approaches zero, left and right of zero do not match

• As the function approaches zero, the graph oscillates.

• As the function approaches zero, the graph increases without bound.

 $The\ \lim_{x\rightarrow2}f\left(x\right)\$  fails to exist because...

• As the function approaches two, left and right of two do not match

• As the function approaches two, the graph oscillates.

• As the function approaches two, the graph increases or decreases without bound (Vertical Asymptote).

• 7

• 1/4

• infinty

• -8

Select all statements that are TRUE.

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