Evaluate a limit #1

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Yuri Anissimov 5 years, 9 months ago

Created this as a copy of Evaluate a limit.

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

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			Name	Type	Generated Value

			a	integer	5
			b	integer	8

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Value

A random number between and (inclusive) with step size

Description

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Generated value: `integer`

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Parts

Gap-fill
1. Gap Mathematical expression
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Gap-fill

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$\lim_{x \to \var{a}}$ $\frac{x-\var{a}}{ \simplify{x^2-({a}+{b})x+{a}*{b} } } =$ Unnamed gap

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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This question is used in the following exams:

TestW5L50 by Yuri Anissimov in 1202.
Week 4 practice by Yuri Anissimov in 1202.
MID-TRIMESTER EXAM REVISION 2020 T3 by Maria Aneiros in Maria's workspace.
Functions and Limits practice by Yuri Anissimov in 1202.
Functions and Limits practice T3 2021 by Nathan Garland in 1202.
Functions and Limits practice log by Nathan Garland in Nathan's workspace.

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Taxonomy: mathcentre

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Yuri Anissimov 5 years, 9 months ago

Error in variable testing condition

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Generated value: `integer`

Parts

Gap-fill

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Evaluate a limit #1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Yuri Anissimov 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`