求x(z)=z/(4-z)(z-1/4)的z反变换，并用z变换验证其结果的正确性

求x(z)=z/(4-z)(z-1/4)的z反变换，并用z变换验证其结果的正确性

1/(z+1)(z+2)=1/(z+1)-1/(z+2)
z/(z+1)(z+2)=z/(z+1)-z/(z+2)
(1)if the region is |z|>2
both terms are causal
the signal is (-(-1)^n+2(-2)^n)*u(n+1)
(2)if the region is 2>|z|>1
the first is causal and the second is anticausal
the signal is -(-1)^nu(n+1)-2*(-2)^n*u(-n-2)
(3)if the region is |z|

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