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Unformatted text preview: Picture on the board: Right-hand limit: lim x a + f ( x ) = L As x approaches a from the right the associated f(x) values approach L. Right hand Limit: lim x a-f ( x ) = M As x approaches a from the left, the associated f(x) values approach M. Note: For the THE limit to exist the limit to exist at x=a, the left and right limit must be the same. Example #4 p.106 in the text Example: #6 p. 106 sketch the following piece-wise defined graph and use your graph to determine for what values of a does the limit exist? Example: #24 p.107 The slope of the tangent line to the graph of the exponential function y = 2 x at the point (0,1) is lim x 2 x- 1 x , (make sure you see how they got this) . Estimate this slope to 3 decimal places....
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This note was uploaded on 04/12/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.
- Spring '07