Let f:[0,1]vec[0,1] be a continuous func...

Let `f:[0,1]vec[0,1]` be a continuous function. Then prove that `f(x)=x` for at least one `0lt=xlt=1.`

A

atleast one `x in [0, 1]`

B

atleast one `x in [1, 2]`

C

atleast one `x in [-1, 0]`

D

can't be discussed

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The correct Answer is:

A

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