Equations of lines joining the points P(2,-5) and Q(-3, root(2)) using determinants

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Advanced Absolute Value Equations

Solve the equation

Solution:
This is not a typical problem posed in textbooks, but it can be solved. We rearrange terms then apply the absolute value definition as many times as needed - in this case twice.

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Advanced Factoring

Solution:

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Series Convergence

This example is nice because we usually cannot get to the sums of these series so easily. But after decomposing the operand, we expand it and convince ourselves that every term cancels with a successor except for the first term.

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Limit of a radical expression

We multiply by the conjugate of an expression quite often - typically when we expect that it will help us remove an unwanted radical from the denominator, or in this case an unwanted expression from the denominator. This example skips a step or two here and there but I hope that it's still clear.

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Trigonometric Function Values of pi/5

How do we know the value of tan(pi/5)...? I'll post one way to compute it...someday :)

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Equation of a line

Find the equation of the line passing through the points (3, -1) and (1, 2)

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