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pallavi pradeep bhardwaj Grade: 12
        

For x ? R, limn→∞((x-3)/(x+2))x =
(A) e                                           (B) e-1
(C) e-5                                         (D) e5

7 years ago

Answers : (1)

askiitian.expert- chandra sekhar
10 Points
										

Hi Pallavi,


y=limx→∞((x-3)/(x+2))


=limx→∞((1-3/x)/(1+2/x))x


1 form


log y = log limx→∞((x-3)/(x+2))x


y = elimx→∞xlog((1-3/x)/(1+2/x))


y = elimx→∞[log((1-3/x)/(1+2/x))]/(1/x)


y = elimx→∞[log((1-3/x)- log(1+2/x))]/(1/x)


y =elimx→∞{[-3log((1-3/x)]/(-3/x)- [2log(1+2/x))](2/x)}


y = e-3-2 = e-5

7 years ago
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