hpfan101
  • hpfan101
How to find the limit of a funciton with radicals?
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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hpfan101
  • hpfan101
\[\lim_{x \rightarrow 0} \left( \frac{ \sqrt{1+x}-\sqrt{1-x} }{ x } \right)\]
hpfan101
  • hpfan101
\[ \left( \frac{ \sqrt{1+x}-\sqrt{1-x} }{ x } \right) \times \left( \frac{ \sqrt{1+x} +\sqrt{1-x}}{ \sqrt{1+x}+\sqrt{1-x} } \right)\]
hpfan101
  • hpfan101
After multiplying by the conjugate, this is what I got: \[ \left( \frac{ {(1+x)}-{(1-x)} }{ (x)(\sqrt{1+x}+\sqrt{1-x}) } \right)\]

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hpfan101
  • hpfan101
Not sure what to do about the denominator but the numerator would simplify to just 2x.
anonymous
  • anonymous
leave the denominator in factored for cancel the x top and bottom, then plug in 0
anonymous
  • anonymous
nice \(\LaTeX\) btw !!
hpfan101
  • hpfan101
@satallite73: Thanks!

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