Math Project 2

# Math Project 2 - Continuity Continuity lintels many...

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Continuity Continuity lintels many different aspects of mathematics, One of the aspects that we feel is most important is limits. We will briefly explain what limits are and how they are directly linked to continuity. A limit is the intended height of a function. This means that when x approaches a specific number on the x-axis the height will approach a specific number on the y-axis. Here is an example that may help to better understand what the limit of a function is. f ( x ) = x ² (let say x approaches 2, so we plug in 2 for x ) f (2) = 2² (as x approaches 2 the height approaches 2²) f (2) = 4 (so when x approaches 2 the height approaches 4) As x approaches 2 the intended height must be 4. This means that when x approaches 2 the limit must be 4. The mathematical way to write this is lim f ( x ) = 4. x 2 Whenever limits of a function is used the notation must always look like the that of the Notation above, which is based upon the definition lim f ( x ) = L. x

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Math Project 2 - Continuity Continuity lintels many...

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