Find the limit of an algebraic fraction

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Xiaodan Leng 5 years, 9 months ago

Created this as a copy of Find the limit of an algebraic fraction.

Name	Status	Author	Last Modified
Find the limit of an algebraic fraction	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:51
spørsmål 1	draft	Ida Landgärds	09/01/2023 10:48
Luis's copy of Find the limit of an algebraic fraction	draft	Luis Hernandez	30/11/2018 18:44
Ida's copy of spørsmål 1	draft	Ida Landgärds	02/12/2020 15:42
limit 2 0/0 type	draft	Johnny Yi	08/12/2020 02:21
Find the limit of an algebraic fraction	draft	Xiaodan Leng	10/07/2019 22:49

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Question statement

Find the limit of the following function.

Give any introductory information the student needs.

			Name	Type	Generated Value

			a	integer	-4
			b	integer	3

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(-9..9 except 0)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

-4

→ Used by:

Advice
"Unnamed part" - prompt
"Unnamed part" → "Unnamed gap" - Correct answer

Parts

Gap-fill
1. Gap Mathematical expression
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\displaystyle \simplify{Limit((x + { -a}) / (x ^ 2 + { -a -b} * x + {a * b}),x,{a}) }=\;$ Unnamed gap (input as a fraction or as an integer).

Advice

Note that on putting $x=\var{a}$ into $\displaystyle \simplify{(x + { -a}) / (x ^ 2 + { -a -b} * x + {a * b}) }$ we get a $0/0$ case and so we have to do more work.

You can factorise $\simplify{x ^ 2 + { -a -b} * x + {a * b}}$ and then see what happens.

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Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exam:

MID-TRIMESTER EXAM REVISION 2020 T3 by Maria Aneiros in Maria's workspace.

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Taxonomy: mathcentre

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Taxonomy: Context

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Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Gap-fill

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Find the limit of an algebraic fraction

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Xiaodan Leng 5 years, 9 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`