Question

limit x tends to zero xcos(1/x)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

0

Step-by-step explanation:

$we \: know \: that \\ \: \: \: \: \: \: \: \: \: \: \: \: - 1 < cos \frac{1}{x} < 1 \\ or \: \: \: \: \: \: \: - x < x \: cos \frac{1}{x } < x \\ or \: lim \: _{ x - 0}( - x) < lim_{ x - 0}(x \: cos \frac{1}{x} ) \: < lim_{x - 0}(x) \\ and \: we \: know \: lim_{x - 0} \: |x| \: = 0 \\ so \: \: \: \: \: \: lim_{x - 0}(xcos \frac{1}{x} ) = 0$