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Cacophony
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Homework Statement
How do I solve this equation?
lim x>0 (x^3 - 2x^2 + x)/tanx
I don't know what to do here, please help. Thank you
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SUMMARY
The limit equation lim x>0 (x^3 - 2x^2 + x)/tan(x) can be solved using L'Hôpital's rule. This rule applies when evaluating limits that result in indeterminate forms such as 0/0. By differentiating the numerator and denominator separately, the limit can be simplified and evaluated effectively. The discussion emphasizes the importance of recognizing when to apply L'Hôpital's rule in calculus problems.
PREREQUISITES- Understanding of limits in calculus
- Familiarity with L'Hôpital's rule
- Basic differentiation techniques
- Knowledge of trigonometric functions, specifically tangent
- Study the application of L'Hôpital's rule in various limit problems
- Practice differentiating trigonometric functions
- Explore advanced limit techniques beyond L'Hôpital's rule
- Review the behavior of tan(x) near x = 0
Students studying calculus, particularly those tackling limit problems, and educators looking for teaching resources on L'Hôpital's rule and limit evaluation techniques.
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