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jog511
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Homework Statement
limx->∞ e^5x/ln(2x)
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SUMMARY
The limit of the expression e^(5x)/ln(2x) as x approaches infinity results in an indeterminate form. To resolve this, one must apply L'Hôpital's Rule, which is essential for evaluating limits that yield forms such as ∞/∞ or 0/0. The correct application of this rule will lead to a definitive conclusion regarding the behavior of the function as x increases without bound.
PREREQUISITES- Understanding of limits in calculus
- Familiarity with L'Hôpital's Rule
- Knowledge of exponential functions
- Basic logarithmic properties
- Study the application of L'Hôpital's Rule in various limit problems
- Explore the behavior of exponential functions as x approaches infinity
- Learn about indeterminate forms and their resolutions
- Practice solving limits involving logarithmic functions
Students studying calculus, particularly those focusing on limits and indeterminate forms, as well as educators looking for examples to illustrate L'Hôpital's Rule.
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