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Consider the following statements in res...

Consider the following statements in respect of the function `f(x)=x+(1)/(x),`
1. The local maximum value of f(x) is less than its local minimum value.
2. The local maximum value of f(x) occurs at x=1.
Which of the above statements is /are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neithe 1 nor 2

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