cmi-entrance 2012 QA4

cmi-entrance · India · ugmath 6 marks Sequences and series, recurrence and convergence Convergence proof and limit determination
Show that $$\lim _ { x \rightarrow \infty } \frac { x ^ { 100 } \ln ( x ) } { e ^ { x } \tan ^ { - 1 } \left( \frac { \pi } { 3 } + \sin x \right) } = 0$$ 
Show that
$$\lim _ { x \rightarrow \infty } \frac { x ^ { 100 } \ln ( x ) } { e ^ { x } \tan ^ { - 1 } \left( \frac { \pi } { 3 } + \sin x \right) } = 0$$
Paper Questions
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