anonymous
  • anonymous
Find the limit
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Luigi0210
  • Luigi0210
Welcome to Openstudy!
anonymous
  • anonymous
\[\lim_{x \rightarrow 0}\frac{ \sin 5x }{ \sin 7x }\]
Luigi0210
  • Luigi0210
No Problem :P

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Psymon
  • Psymon
Youre forced to use identities here it looks like. Youll have to break down the sin5x and sin7x using sum of sines formulas and eventually double angle formulas it looks like.
anonymous
  • anonymous
may i suggest another approach we know that lim of sin(ax)/ax as x->0 equals 1. so: sin(5x)/sin(7x) = (5x)(7x)sin(5x)/[(5x)(7x)sin(7x)] = (5/7)*(7x)sin(5x)/[(5x)sin(7x)] now taking the limit according to the known limit that equals 1 = 5/7

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