Write an R function to approximate $e$

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George Stagg

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Needs to be tested

3 years, 1 month ago

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Christian Lawson-Perfect 1 year, 10 months ago

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George Stagg 3 years, 1 month ago

Gave some feedback: Needs to be tested

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George Stagg 3 years, 1 month ago

Created this.

Name	Status	Author	Last Modified
Write an R function to approximate $e$	Needs to be tested	George Stagg	10/05/2023 13:34
Write an R function to approximate $e$	Ready to use	Christian Lawson-Perfect	23/11/2023 12:24

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Question statement

A fun approximation for the mathematical constant $e$ is,

\[e \approx 1+\displaystyle\sum_{k=1}^{n}\frac{1}{k!}\]

Let's calculate it using this method in R!

Give any introductory information the student needs.

			Name	Type	Generated Value

randn	integer	13
series_function	string	series <- function(n) { k
series_placeholder	string	series = function(n){ # Co

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Value

xxxxxxxxxx
 
random(2..13)

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Description

The number of terms of the series to compute.

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Generated value: `integer`

→ Used by:

"Part b)" - prompt
"Part b)" - Variables to include in code

Code

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First, write a function named series that takes an argument n and returns $[S_1, S_2,\dots S_n]$ as a vector, where $S_k = \frac{1}{k!}$.

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Correct answer

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{series_function}

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Placeholder

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{series_placeholder}

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Marking tests

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[
  ["series function works", 1, """all.equal(series(7),1/factorial(1:7))"""]
]

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Variables to include in code

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dict()

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This question is used in the following exam:

Programming extension demo by Christian Lawson-Perfect in Programming extension.

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Christian Lawson-Perfect 1 year, 10 months ago

George Stagg 3 years, 1 month ago

George Stagg 3 years, 1 month ago

Error in variable testing condition

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Generated value: `integer`

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Write an R function to approximate $e$

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Christian Lawson-Perfect 1 year, 10 months ago

George Stagg 3 years, 1 month ago

George Stagg 3 years, 1 month ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Code

Generated value: `integer`