- #1
kathrynag
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Homework Statement
Define f: (0,1)---->R by . Does f have a limit at 0?
Homework Equations
0<absvalue(x-x_0)<delta
absvalue(f(x)-L)<epsilon
The Attempt at a Solution
epsilon is arbitrary.
0<absvalue(x-0)<delta. Then absvalue(xcos1/x-0)<epsilon.
0<absvalue(x)<delta
absvalue(xcos1/x)<epsilon
absvalue(x)absvalue(cos1/x)<epsilon
This is where I get stuck? Do I divide by absvalue(cos1/x) and let delta= sec(1/x)?