1. The problem statement, all variables and given/known data
Evaluate: [itex]\displaystyle\lim_{x\rightarrow0}x\sin (\frac{1}{x})[/itex]
2. Relevant equations
[itex]L'H\hat{o}pital's~rule[/itex] (?)
3. 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.
Evaluate: [itex]\displaystyle\lim_{x\rightarrow0}x\sin (\frac{1}{x})[/itex]
2. Relevant equations
[itex]L'H\hat{o}pital's~rule[/itex] (?)
3. 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.
0 commentaires:
Enregistrer un commentaire