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lim-x-sin-x-1-sin-x-




Question Number 142151 by iloveisrael last updated on 27/May/21
   lim_(x→∞)  sin (√(x+1))−sin (√x) =?
limxsinx+1sinx=?
Commented by gsk2684 last updated on 27/May/21
lim_(x→∞)  (2 cos (((√(x+1))+(√x))/2)sin (((√(x+1))−(√x))/2))  2lim_(x→∞) (cos (((√(x+1))−(√x))/2)sin (1/( (√(x+1))+(√x))))  sin(1/( (√(x+1))+(√x))) →0 and then  use sandwich theroem
limx(2cosx+1+x2sinx+1x2)2limx(cosx+1x2sin1x+1+x)sin1x+1+x0andthenusesandwichtheroem

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