Help with #lim_{xrarr+oo} (-x+sqrt(x^2+1) # please?

It's driving me crazy... I always end up with an indetermined function, be it #+oo*0 , (+oo-oo)/-oo# or others

Maybe there just is none ?

1 Answer
Cesareo R.
Jan 9, 2018

#0#

Explanation:

#(-x+sqrt(x^2+1) ) = (-x+sqrt(x^2+1) )((-x-sqrt(x^2+1) )/(-x-sqrt(x^2+1) )) = -1/((-x-sqrt(x^2+1) ) )= 1/((x+sqrt(x^2+1) ) #

then

#lim_{xrarr+oo} (-x+sqrt(x^2+1)) = lim_(x->oo)1/((x+sqrt(x^2+1) )) = 0#

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