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Grade: 12
        

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

10 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

10 years ago
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