$(15$ pts$.)$ Evaluate the following limits or state that they do not exist $("$DNE$").$ Use $$ or $-$ if either is appropriate. Numbers alone without justification $($either algebra and$/$or quoting theorems where applicable will receive no credit. If you use L$\text{'}$H$$pital$\text{'}$s Rule, clearly indicate when you do so$.$

i$.\underset{x0}{lim}(\frac{sin(x)}{e^{2x}-1})$

ii$.,\underset{x5}{lim}(\frac{ln(\frac{x}{2})}{{}^{(x-5)}})$