find the horizontal asymptote of y=(4e^(x) + 7)÷(e^(x)-1)

## answer

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horizontal xxxxxxxxxx

y = (4e^x + xxxxxxx x 1)

xx > xx x = x , y = + infinity

xxxxxx horizontal asymptote xx y = inf.

## easy solution

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xxx hor xxxxxxxx slope must xx x

so dy/dx=(e^x-1)(4e^x)-(4e^x+7)(e^x)=0

xxx xxxx x x xxxx get hori asyumptote