The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,{{\left[ {{1}^{1/{{\cos }^{2}}x}}+{{2}^{1/{{\cos }^{2}}x}}+...+{{n}^{1/co{{s}^{2}}x}} \right]}^{{{\cos }^{2x}}}}\] is

The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,{{\left

1.	The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,{{\left[ {{1}^{1/{{\cos }^{2}}x}}+{{2}^{1/{{\cos }^{2}}x}}+...+{{n}^{1/co{{s}^{2}}x}} \right]}^{{{\cos }^{2x}}}}\] is
A.	0
B.	n
C.	\[\infty \]
D.	\[\frac{n(n+1)}{2}\]
Answer» C. \[\infty \]

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The value of \[\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,{{\left[ {{1}^{1/{{\cos }^{2}}x}}+{{2}^{1/{{\cos }^{2}}x}}+...+{{n}^{1/co{{s}^{2}}x}} \right]}^{{{\cos }^{2x}}}}\] is

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