## Question

###### Determine if the following functions grow faster; slower; or at the same rate as the functionas X =15x" 26x +b.Xln Tx -X13+x43 Ax -1f. Xe 4xsinxThe function 15x4 26xgrowsasx - 0 because lim 15x4 X-0 26x +b The function x In Zx - X growsasX -because lim xIn Tx-X X-0The function V 3 +growsas X -because lim X-0v3+d. The functiongrows4X as X ~ because lim X-0The functiongrowsasX =because lim X-0f. The function Xe growsas X0 because Iim Xe 4X X-0

Determine if the following functions grow faster; slower; or at the same rate as the function as X = 15x" 26x + b.Xln Tx -X 13+x4 3 Ax -1 f. Xe 4x sinx The function 15x4 26x grows asx - 0 because lim 15x4 X-0 26x + b The function x In Zx - X grows asX - because lim xIn Tx-X X-0 The function V 3 + grows as X - because lim X-0v3+ d. The function grows 4X as X ~ because lim X-0 The function grows asX = because lim X-0 f. The function Xe grows as X 0 because Iim Xe 4X X-0

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