- #1
Ravi Mandavi
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how, limit h->0 {(e^h-1)/h}= 1?
Although this is not home work but i stuck on it
Although this is not home work but i stuck on it
Calculating the Limit of {(e^h-1)/h} as h→0
- Thread starter Ravi Mandavi
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- Limit
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SUMMARY
The limit of the expression {(e^h-1)/h} as h approaches 0 is definitively calculated to be 1. This conclusion is reached by applying L'Hôpital's Rule, which is a method used to evaluate limits of indeterminate forms. The application of this rule simplifies the calculation and confirms the limit's value. Understanding this limit is essential for grasping fundamental concepts in calculus, particularly in the context of exponential functions.
PREREQUISITES- Understanding of limits in calculus
- Familiarity with L'Hôpital's Rule
- Basic knowledge of exponential functions
- Ability to differentiate functions
- Study the application of L'Hôpital's Rule in various limit problems
- Explore the properties of exponential functions and their derivatives
- Learn about other methods for evaluating limits, such as Taylor series
- Investigate the concept of continuity and differentiability in calculus
Students and educators in mathematics, particularly those focused on calculus, as well as anyone looking to strengthen their understanding of limits and exponential functions.
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