I am studying the limit chapter of calculus...In some earlier examples I found that if a function with certain limit results into more than two values then limit DNE.
I am wondering if we evaluate RHL and LHL. They both are finite but do not equal. Then does the limit still exist?? I mean , here too, we get two different numbers.
And one more thing I am doubtful about is when should we exactly use the LHL and RHL approach.... Because there are still more convenient ways to find limits.