Good one. The failure is in "0=1-1+1-1+1-1+..." which is actually a way of multiplying infinity and 0. This is an "indeterminate form" and so may not be strictly equal to 0.
Consider lim x-> 0 of sin(x)*1/x.
This limit is also 0*inf which can be converted to 0/0 so that we may apply...
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.