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Unformatted text preview: is equal to . This series, the harmonic series, is known to diverge. For x = 1, the series is equal to
series and is known to converge.
Answer: , which is the alternating harmonic . 3. Sketch the graph of the hyperbola whose equation is 9x2 – 16y2 + 54x + 64y – 127 = 0. Include foci,
vertices, and asymptotes.
Here is the presketch algebraic manipulation.
9(x2 + 6x + 9) – 16(y2 – 4y + 4) = 127 + 81 – 64 = 144 So this is a horizontal hyperbola with center (–3, 2), a = 4, and b = 3.
That means it has vertices at (–7, 2...
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This document was uploaded on 03/18/2014 for the course MATH 237 at Frostburg.
 Fall '1
 Staff
 Calculus

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