Evaluate a limit

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Frank Doheny

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Frank Doheny 8 years, 5 months ago

Published this.

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Frank Doheny 8 years, 7 months ago

Created this.

Name	Status	Author	Last Modified
Evaluate a limit	draft	Frank Doheny	17/11/2016 15:42
Tony's copy of Evaluate a limit	draft	Tony FEVRIER	07/09/2018 13:18
Maria's copy of Evaluate a limit	draft	Maria Aneiros	27/05/2019 05:08
Evaluate a limit #1	draft	Yuri Anissimov	17/08/2022 01:31

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Question statement

Evaluate the following limit

$\displaystyle{\lim_{x \to \var{a}}}\frac{x-\var{a}}{x^2-\simplify{{a}+{b}}x+\simplify{{a}*{b}}}$

Give any introductory information the student needs.

			Name	Type	Generated Value

			a	integer	4
			b	integer	15

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Generated value: `integer`

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Advice
Variable testing condition
"Unnamed part" - Minimum accepted value
"Unnamed part" - Maximum accepted value

Advice

$\displaystyle{\lim_{x \to \var{a}}}\frac{x-\var{a}}{x^2-\simplify{{a}+{b}}x+\simplify{{a}*{b}}}$

We can factorise the denominator

$\displaystyle{\lim_{x \to \var{a}}}\frac{x-\var{a}}{(x-\var{a})(x-\var{b})}$

Cancel out the common factor

$\displaystyle{\lim_{x \to \var{a}}}\frac{1}{x-\var{b}}$

Insert the value $\var{a}$ in for $x$ to evaluate the limit

$-\frac{1}{\simplify{{b}-{a}}}$

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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History

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Frank Doheny 8 years, 5 months ago

Frank Doheny 8 years, 7 months ago

Error in variable testing condition

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Generated value: `integer`

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Number entry

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Evaluate a limit

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Frank Doheny 8 years, 5 months ago

Frank Doheny 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Number entry

Advanced settings

Generated value: `integer`