For a real number r let [r] denote the largest integer less than or equal to r. Let a1 be a real number which is not an integer, and let k be the smallest positive integer such that [ a ^ k ][ a ]^ k . then which of the following statemen

Question

For a real number r let [r] denote the largest integer less than or equal to r. Let a>1 be a real number which is not an integer, and let k be the smallest positive integer such that [ a ^ k ]>[ a ]^ k . then which of the following statements is always true?

Quantrex Academy · Accepted Answer

Correct answer: D. k 1 a-[a] +1

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For a real number r let [r] denote the largest integer less than or equal to r. Let a>1 be a real number which is not an integer, and let k be the smallest positive integer such that [ a ^ k ]>[ a ]^ k . then which of the following statements is always true?

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