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. Let [x] denote the greatest integer less than or equal to x for any real number x. The range of the function f : R ! R, defined by f(x) = {sin(π[x]) / x2+5} , is A. (1, 1) B. [1, 1] C. {1, 1} D. {0}

. Let [x] denote the greatest integer less than or equal to x for any real number x. The range of the function f : R ! R, defined by f(x) = {sin(π[x]) / x2+5} , is

A. (1, 1) B. [1, 1] C. {1, 1} D. {0}

Grade:12th pass

1 Answers

Arun
25758 Points
3 years ago
Dear student
 
As [x] will always be an integer hence sin function will become zero.
 
Hence range is 0.
 
Hope it helps

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