Taylorrekke til 1/(1-x)

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Elena Malyutina

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Elena Malyutina

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4 years ago

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Elena Malyutina 4 years ago

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Elena Malyutina 4 years ago

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Elena Malyutina 4 years ago

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Question statement

La $f(x)=\dfrac{1}{1-x}$

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			Name	Type	Generated Value

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Parts

Gap-fill
1. Gap Gap 0. Mathematical expression
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2. Gap Gap 1. Mathematical expression
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3. Gap Gap 2. Mathematical expression
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4. Gap Gap 3. Mathematical expression
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5. Gap Gap 4. Mathematical expression
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6. Gap Gap 5. Mathematical expression
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7. Gap Gap 6. Mathematical expression
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8. Gap Gap 7. Mathematical expression
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9. Gap Gap 8. Mathematical expression
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10. Gap Gap 9. Mathematical expression
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11. Gap Gap 10. Mathematical expression
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12. Gap Gap 11. Mathematical expression
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13. Gap Gap 12. Mathematical expression
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Gap-fill

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La oss finne Taylorrekka til $f(x)$ i $x=0$

$f(0)=$ Gap 0.

$f'(x)=$ Gap 1. $f'(0)=$ Gap 2. $\dfrac{f'(0)}{1!}=$ Gap 2.

$f''(x)=$ Gap 3. $f''(0)=$ Gap 4. $\dfrac{f''(0)}{2!}=$ Gap 5.

$f'''(x)=$ Gap 6. $f'''(0)=$ Gap 7. $\dfrac{f'''(0)}{3!}=$ Gap 8.

$f^{(n)}(x)=$ Gap 9. $f^{(n)}(0)=$ Gap 10. $\dfrac{f^{(n)}(0)}{n!}=$ Gap 11.

$Tf(x)=\sum\limits_{n=0}^{\infty}$ Gap 12.

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This question is used in the following exams:

Uke 16 by Elena Malyutina in Elena's workspace.
Følger og rekker by Elena Malyutina in Elena's workspace.
Potensrekker og Taylorrekker by Ida Friestad Pedersen in Elena's workspace.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Elena Malyutina 4 years ago

Elena Malyutina 4 years ago

Elena Malyutina 4 years ago

Error in variable testing condition

Parts

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