anonymous
  • anonymous
limit as x approaches 0 of (sin 5x)/7x?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
I've considered multiply the numerator by 5x/5x so that sin x will become 1 as x approaches zero...but doesn't the problem then become 5x/7x and they both go to zero?
myininaya
  • myininaya
\[\lim_{x \rightarrow 0}\frac{\sin(5x)}{5x} =1\] right? so how do we get this in our problem? \[\frac{5}{7}\lim_{x \rightarrow 0}\frac{\sin(5x)}{5x}\]
cathyangs
  • cathyangs
wouldn't there be no limit? *confuzzled* O.o

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myininaya
  • myininaya
\[\frac{5}{7}(1)=\frac{5}{7}\]
anonymous
  • anonymous
Sorry, is there an intermediate step missing?
TuringTest
  • TuringTest
You can verify that myininaya is right very quickly if you know L'hospital's rule.
myininaya
  • myininaya
all i did was multiply 5/5 @ josh

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