Find the limit when x approaches ?

Question

when x approaches infinity of #(ax+b)/(bx+a)#

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Answer 1 · 2018-05-04T05:12:52

This limit gives #a/b#.

Divide by the highest degree (which in this case is #x#).

#L = lim_(x-> oo) ((ax)/x + b/x)/((bx)/x + a/x)#

#L = lim_(x->oo) (a + b/x)/(b + a/x)#

#L = (a + 0)/(b + 0) = a/b#

Hopefully this helps!