- #1
PhysicoRaj
Gold Member
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- 49
Homework Statement
Evaluate: [itex]\displaystyle\lim_{x\rightarrow0}x\sin (\frac{1}{x})[/itex]
Homework Equations
[itex]L'H\hat{o}pital's~rule[/itex] (?)
The Attempt at a Solution
Taking the x to denominator as [itex]\displaystyle\lim_{x\rightarrow0}\frac{\sin(\frac{1}{x})}{\frac{1}{x}}[/itex] and Applying L'Hopital's rule I get [tex]\displaystyle\lim_{x\rightarrow0}\cos {\frac{1}{x}}[/tex]
Have I done right? How should I proceed? Thanks.