Limits of Composite Functions

• 0

• 1

• 2

• 3

• DNE

Answer explanation

Because the limit as x approaches 2 of g(x) does not exist (the left approaches -inf while the right approaches +inf) then the composite function cannot exist.

• 0

• -1

• 1

• 3

• DNE

Answer explanation

Since g(x) is not continuous at x= -1 we cannot make a formal conclusion about the value of the limit.

• 0

• -1

• 1

• 3

• DNE

• 0

• -1

• 2

• DNE

Answer explanation

Remember that the limit is the value that the function is approaching, so the limit of h(x) as x approaches 0 is zero. and f(0) = -1

• 1

• 2

• -3

• 0

• DNE

Answer explanation

• 1

• 2

• 3

• DNE

Answer explanation

• 4

• -3

• -12

• 2

• DNE

Answer explanation

Since the limit of the inside function DNE then the composite function DNE

• 9 - √17
• 4
• 2
• √8

• 2
• 11
• -11
• -9