10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

Evaluating a Limit In Exercises 43–60, (a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using L’Hôpital’s Rule if necessary. (c) Use a graphing utility to graph the function and verify the result in part (b).

lim x → ∞ x ln x

To determine

The type of indeterminate form (if any) that is obtained by direct substitution for the expression limx→∞xlnx.

The provided limit is:

Consider the provided limit:

Now, on direct substitution,

To determine

To calculate: The provided limit limx→∞xlnx using L’Hopital’s rule if necessary.

To determine

To graph: The provided function f(x)=xlnx.

Check out a sample textbook solution.

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