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math456

  • 3 years ago

Need help!! Q.13.

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  1. math456
    • 3 years ago
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    \[f(x)=(x+2x ^{3})^{4}\] a=-1

  2. math456
    • 3 years ago
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    @myko @Champion

  3. math456
    • 3 years ago
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    @cwrw238

  4. myko
    • 3 years ago
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    what's the question?

  5. math456
    • 3 years ago
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    Us the definition of continuity and the properties of limits to show that the function is continuous at the given number a.

  6. myko
    • 3 years ago
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    you have to show that: \[\lim _{x->-1} f(x)=f(-1)\]

  7. math456
    • 3 years ago
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    ohh so all i hv to do is to plug in -1 in the f(x) function?

  8. myko
    • 3 years ago
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    that for f(-1). Later use the fact that lim(x+2x^3) = lim x + lim 2x^3 and lim x->a f(g(x))= f(g(a))

  9. math456
    • 3 years ago
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    so is it 81?

  10. myko
    • 3 years ago
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    it doesn't asks you for the value, it just say "show it continuous"

  11. math456
    • 3 years ago
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    oh okay! thank you

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