Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are ∞ or −∞, and describe the corresponding vertical asymptote. limx→−3±x2x2−9

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Determine the one-sided limits numerically or graphically. If infinite, state whether the one-sided limits are ∞ or −∞, and describe the corresponding vertical asymptote.  limx→−3±x2x2−9

Velsenw · Accepted Answer

The one sided limits are calculated numerically for the given limit.  The limit provided in the question is limx→−3±x2x2−9  So right hand limit is limx→−3+x2x2−9  limx→−3+x2x2−9=90+  =+∞  And left hand limit is limx→−3−x2x2−9  limx→−3−x2x2−9=90−  =−∞  The vertical asymptote is given by the zeroes of the denominator of any function.  So the zeroes of the x2x2−9 is given by,  x2−9=0  x2=9  x=±3  Hence, the right hand limit is ∞ and left hand limit is −∞ and the vertical asymptote x=±3.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Determine the one-sided limits numerically or graphically. If infinite, state wh

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