Practicing Success
Practicing Success
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$\underset{x→-π}{\lim}\frac{|x+π|}{\sin x}$ is: |
-1 1 π Does not exist |
Does not exist |
$\underset{x→-π}{\lim}\frac{|x+π|}{\sin x}$ $RHL = \underset{x→-π^+}{\lim}\frac{x+π}{\sin x}=\underset{h→0}{\lim}\frac{-π+h+π}{\sin(-π+h)}=1$ $LHL = \underset{x→-π^-}{\lim}\frac{x+π}{\sin x}=\underset{h→0}{\lim}\frac{(π+h-π)}{\sin(-π-h)}=-1$ $LHL≠RHL$ Limit does not exist. |
