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anonymous

  • 4 years ago

Evaluate the limit. As h-->0, lim (a+h)^2-a^2/h

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  1. anonymous
    • 4 years ago
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    \[\lim_{h \rightarrow 0} (a+h)^{2}-a ^{2}\div h\]

  2. JamesJ
    • 4 years ago
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    First of all, what does \[ (a+h)^2 - a^2 \] simplify to?

  3. anonymous
    • 4 years ago
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    2ah+h^2

  4. JamesJ
    • 4 years ago
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    Hence \[ \frac{(a+h)^2 - a^2}{h} \] equals what?

  5. anonymous
    • 4 years ago
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    (a+h-a)(a+h+a)/h h(h+2a)/h h + 2a evaluate the limit 0 + 2a = 2a

  6. anonymous
    • 4 years ago
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    As far as I can get is 2a...because you'd get 2a+h and the h is just a 0....

  7. JamesJ
    • 4 years ago
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    Yes, and that's the answer.

  8. anonymous
    • 4 years ago
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    Oh...okay. Wow, thanks!!!

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