Smc Manifold Block Wiring Diagram

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Limits describe how a function behaves near a point, instead of at that point. This simple yet powerful idea is the basis of all of calculus.

This video introduces limit properties, which are intuitive rules that help simplify limit problems. The main properties covered are the sum, difference, product, quotient, and exponent rules.

This video covers limits of trigonometric functions, focusing on sine, cosine, and tangent. It emphasizes that sine and cosine are continuous and defined for all real numbers, so their limits can be found using direct substitution.

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Performing u substitution with definite integrals is very similar to how it's done with indefinite integrals, but with an added step: accounting for the limits of integration.

Find limits of trigonometric functions by rewriting them using trigonometric identities.

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We learn that to find one sided and two sided limits, we need to consider the function definition for the specific interval we're approaching and substitute the value of x accordingly.

In this video, we explore the limit of (x² x 6) (x 2) as x approaches 2. By factoring and simplifying the expression, we discover that the function is undefined at x = 2, but its limit from both sides as x approaches 2 is in fact 5. Created by Sal Khan.

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