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Evaluate : lim( x -> oo ) ( x ( 1 -a - ...

Evaluate :
`lim_( x -> oo ) ( x ( 1 -a - b ) + ( 1 - b )) / ( x + 1 )` = 4, then find relation between a and b

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lim_ (x rarr oo) (1+ (4) / (x-1)) ^ (x + 3) =

lim_ (x rarr oo) (1+ (4) / (x-1)) ^ (x + 3) =