pranab01 wrote:

As for the ques. yes 1 also provide the same answer but you may be lucky , if the ques states: \((4^n + \frac{(2)}{(4^{n})})\)

will n = 0 and n= 1 provide the same answer?

Question states: If n is an integer, what is the least possible value of \((3^n + \frac{(3)}{(3^{n})})\)

but you change the basic structure of this question stem which states: \((a^n + \frac{(a)}{(a^{n})})\)

You can not change it to 2 in the numerator of second part.

\((4^n + \frac{(2)}{(4^{n})})\)

If you follow the stem

if a=3

\((3^n + \frac{(3)}{(3^{n})})\)

if a=4

\((4^n + \frac{(4)}{(4^{n})})\)

if a=2

\((2^n + \frac{(2)}{(2^{n})})\)

........

\((a^n + \frac{(a)}{(a^{n})})\)

Always n=0, n=1 works for this because we when n=0, first part is= 1 and second part is a. and

when n=1 first part is= a and second part is 1.

Hence, the result is either 1+a or a+1.

Hope this would clear the confusion about this question.

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Let me know if I am wrong.