Can anybody help me find this limit without using L'Hospital's rule?
limx→0arctan(3x)tan((x+3π)/3)
I've tried to multiply both arctan/tan on sin, but it doesn't seem to help.
Answer
Use the following facts.
limx→0arctan(3x)tan((x+3π)/3)=limx→0arctan(3x)3x×3xtanx+3π3
tan(π+x3)=tan(x3)
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