The Limit of (x+6/x+1)^x+4 as x-->infinite

Answers (1)

Solution:

\ L=lim_x	oinfty (x+6/x+1)^x+4 Form\ 1^infty

NOW,

\ log L=lim_x	oinfty (x+6/x+1 -1)	imes x+4\ \Rightarrow log L=lim_x	oinfty (5/x+1)	imes (x+4)\ \Rightarrow log L=5\ \Rightarrow L=e^5

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