Question

show that this limit does not exist: lim x ->1+ x/(x-1) x is not equal to 1 show that this limit does not exist: lim x ->1+ x/(x-1) x is not equal to 1 @Mathematics

Answer 1

1.01 is to the right of 1 and kind of close to 1
we know the limit is either infinity or -infinity
so when we plug 1.01 into the expression x/(x-1) we get
a positive number which means as x approaches 1 from the right f approaches infinity

Answer 2

i need a more formal proof.