The Limit of Transcendental Functions

• 0

• 2

Answer explanation

As the value of x increases without bound the value of f(x) also increases without bound. You may refer to the graph of the given function.

• 0

Answer explanation

As the value of x increases without bound, the value of f(x) approaches 0. It can be noted that the graph of the given function is asymptotic to 0.

• 0

• 2

Answer explanation

As the value of x decreases without bound, the value of f(x) approaches 0. It can be noted that the graph of the given function is asymptotic to 0.

• 0

• 2

Answer explanation

As the value of x decreases without bound, the value of f(x) increases without bound.

• 0

• 9

Answer explanation

As the value of x approaches 2, the value of f(x) gets closer to 9.

• 1 

• 0

• 2

Answer explanation

As the value of x approaches 0, the value of f(x) gets closer to 3.

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• indeterminate

Answer explanation

When the function is evaluated at x=0, the function will have an indeterminate form. We use graphical method or tabular method to check on the trend of the values of x and f(x). Based on the graph, as the value of x approaches 0 from the left, the value of f(x) decreases without bound.

• 0

• indeterminate

Answer explanation

As the value of x increases without bound, the value of f(x) increases without bound.

• 0

• indeterminate

Answer explanation

As the value of x approaches 0, the value of f(x) decreases without bound.

• 0

• indeterminate

Answer explanation

As the value of x approaches 0 from the right, the value of f(x) increases without bound.