MAT 125 Study Guide - Fall 2018, Comprehensive Midterm Notes - Trigonometric Functions, Infinity, Asymptote
5 Nov 2018
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MAT 125 Full Course Notes
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Mat 125-lecture #6- continuation of 2. 2 and start of 2. 3 (limits, When writing (cid:1864)(cid:1865) (cid:1858)(cid:4666)(cid:4667)= you say: the left side of the limit of f(x) at a is l. Official definition: the limit of f(x) as x approaches a from the left is l if we can make the values of f(x) arbitrarily close to l by taking x sufficiently close to x and less than x. When writing (cid:1864)(cid:1865) +(cid:1858)(cid:4666)(cid:4667)= you say: the right side of the limit of f(x) at a is l. Official definition: the limit of f(x) as x approaches a from the right is l if we can make the values of f(x) arbitrarily close to l by taking x sufficiently close to x and more than x. Both values of the limit, from both sides, needs to be the same in order for there to be a limit. If this is not the case, then the limit does not exist.
