A) \[\frac{5}{3}{{(a+2)}^{2/3}}\]
B) \[\frac{5}{3}{{(a+2)}^{5/3}}\]
C) \[\frac{5}{3}{{a}^{2/3}}\]
D) \[\frac{5}{3}{{a}^{5/3}}\]
Correct Answer: A
Solution :
Apply the L-Hospital?s rule, \[\underset{x\to a}{\mathop{\lim }}\,\frac{f(x)}{g(x)}=\underset{x\to a}{\mathop{\lim }}\,\frac{{f}'(x)}{{g}'(x)}\].
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