Question #e30a7

1 Answer
Øko
Feb 10, 2018

#lim_(x->0)(1-cos(2x))/(1-tan(2x))=0#

Explanation:

We want to solve

#lim_(x->0)(1-cos(2x))/(1-tan(2x)#

Plugging in #x=0# doesn't leave to an indeterminate form

Therefore

#lim_(x->0)(1-cos(2x))/(1-tan(2x))=(1-cos(2*0))/(1-tan(2*0))=(1-1)/(1-0)=0#

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