anonymous
  • anonymous
Can you find the limit as x approaches infinity for √((x^(2))+x) - √((x^(2))-x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
hmmm the answer key says it is equal to 1
anonymous
  • anonymous
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anonymous
  • anonymous
it goes like this the given expression can be re written as after ratinalising (2x)/(√((x^(2))+x) + √((x^(2))-x) after dividing both num and denom by x it yields 2/2 =1 (as1/x tends to 0)

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anonymous
  • anonymous
why 2x
anonymous
  • anonymous
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anonymous
  • anonymous
oh i see thanks guys. rationalization

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