0 x.
													
																	Floor x k floor x floor k. 
									
	
		
	
																	Let s rewrite ceil x in terms of floor x. 
																	Y floor x rounds each element of x to the nearest integer less than or equal to that element. 
																	2 2 is the largest element in arr smaller than 5. 
																	Given a sorted array and a value x the floor of x is the largest element in array smaller than or equal to x. 
															
													
									
	
		
	
																	Int limits 0 infty lfloor x rfloor e x dx. 
																	At points of continuity the series converges to the true. 
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																	For y fixed and x a multiple of y the fourier series given converges to y 2 rather than to x mod y 0. 
																	The best strategy is to break up the interval of integration or summation into pieces on which the floor function is constant. 
															
													
									
	
		
	
																	Arr 1 2 8 10 10 12 19 x 5 output. 
																	Evaluate 0 x e x d x. 
																	Definite integrals and sums involving the floor function are quite common in problems and applications. 
																	Y floor t rounds each element of the duration array t to the nearest number of seconds less than or equal to that element. 
															
													
									
	
		
	
																	Write efficient functions to find floor of x. 
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