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Question

If a,b,c,d are positive real numbers then limx(1+1a+bx)c+dx=

A
ed/b
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B
ec/a
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C
ec+d/a+b
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D
ea+b/c+d
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Solution

The correct option is A ed/b
Form of the limit is 1
limx(1+1a+bx)c+dx=limx(1+1a+bx)(a+bx)c+dxa+bx
=elimxc+dxa+bx=elimxc/x+da/x+b=ed/b

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