# Writing About Concepts - Hale Scheckelhoff & Matt Millman...

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Math 151 Writing Assignment 2 1. For lim f (x) = L as x-> a, L is a real number and the function of f is defined on an open interval containing a (sometimes at a). In other words, L is the limit of the function f (x) so as x approaches a, if the values of f get close to L when x gets close to a, but is not equal to a. A is the numerical value approached by x, the x value in the function to get the L value. We can reasonably assume that f (a) = L as a point due to the function f (x) =L as x is going to a. 5. An asymptote is a line that is never intersected by the function and this asymptote can be vertical or horizontal. Yes, if H (a) = 0 then the function has a vertical asymptote at x=a. This happens because the function of H is in the denominator and the function of f cannot have a numerator over so at x=a the denominator would equal 0 and the function would not exist. An example of this is the function of 1/x will have a horizontal asymptote.

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## This note was uploaded on 01/23/2012 for the course THE 191 taught by Professor Shaw during the Winter '08 term at Miami University.

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Writing About Concepts - Hale Scheckelhoff & Matt Millman...

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