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Please help me with this limit question given in the image attachment

Please help me with this limit question given in the image attachment 

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Grade:12th pass

1 Answers

Tabassum
18 Points
5 years ago
Lim     ( x+5)/(x-1)
x→∞
=   lim{ [ 1 + 6/(x-1) ]^(x-1) }^x/x-1                 
      x→∞
=e^6
 
 
Since, lim   (1+a/x)^x   =  e^a, and also lim x→∞ (x/x-1)  =1
            x→∞
                   

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