Question

Решите пожалуйста Lim x-0. Arcsin7x/3tg14x

Answer 1

Lim sin4x/2x = Lim2* sin4x/4x =2* Lim sin4x/4x =2*1 =2.

x→0----------------x→0------------------------x→0

* * * * * * *

Lim(x² -5x +6)/(x³ -27) =Lim(x -2)(x -3)/(x -3)(x²+3x+9)=Lim(x -2)/(x²+3x+9) =    

x→3---------------------------x→3-----------------------------------x→3

=1/27.

* * * * * * *

Lim(x² -x -2)/(x² +x -6)=Lim(x -2)(x+1)/(x-2)(x +3) =Lim(x+1)/(x +3)=3/5.

x→2--------------------------x→2--------------------------x→2

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