Consider we have a limit of the form $\dfrac{0}{0}\ or\ \dfrac{\infty}{\infty} $ and we need to find the value of the limit. Since we have an indeterminate form should we apply L' Hospital rule until the indeterminate form have been removed and then check whether limit exists
Left-Hand-Limit = Right-hand-limit or,
Should be do the reverse, i.e first check whether the limit exists and then apply do L'Hospital?
Which is the correct approach?
Ref: https://gateoverflow.in/118309/gate2017-1-28