回答:
#lim_(X-> 0)的x / SQRT(1-COS(X))= SQRT(2)#
说明:
# lim_(x-> 0)x / sqrt(1-cos(x))#
#= lim_(X-> 0)的x / SQRT(1-COS(X))* SQRT(1个+ COS(X))/ SQRT(1个+ COS(X))#
#= lim_(X-> 0)(xsqrt(1个+ COS(X)))/ SQRT(1-COS ^ 2(X))#
#= lim_(X-> 0)(xsqrt(1个+ COS(X)))/的sin(x)#
#= lim_(X-> 0)X / SIN(X)SQRT(1个+ COS(X))#
#= lim_(X-> 0)X / SIN(X)* lim_(X-> 0)SQRT(1个+ COS(X))#
#= 1 * SQRT(2)#
#= SQRT(2)#