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Limits
ASX Approaches 0
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22:44
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blackpenredpen
integral of sin(x)/x from 0 to inf by Feynman's Technique
The integral of sin(x)/x from 0 to inf by using Feynman's technique (aka differentiation under the integral sign). This integral is also called the Dirichlet integral. Check out another example of Feynman's technique of integration: https://youtu.be/YO38MCdj-GM Zachary's page: https://philosophicalmath.wordpress.com/ , integral of sin(x)*e^(-bx ...
1.3M views
Aug 20, 2017
Watch full video
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✅⬇️ The limit of sin(x)/x as x approaches 0 is equal to 1, and this is a fundamental result in calculus. It's often used in various mathematical derivations and proofs. One way to understand this limit is by looking at the behavior of the sine function and the x-axis as x gets closer to 0. The graph of y = sin(x)/x approaches 1 as x approaches 0 because the sine function oscillates between -1 and 1, but the x in the denominator gets smaller, causing the fraction sin(x)/x to approach 1. Another w
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