Summative Test: Basic Concepts of Limits

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Measures 4 skills from
Grade 11
Basic Calculus
Philippines Curriculum: SHS Specialized Subjects (MELC)

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Q 1/20
Score 0
If the values of the limits of the function f(x) from its left and from its right are equal, then the limit of the function exists.
29
true
false

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20 questions

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Q1
If the values of the limits of the function f(x) from its left and from its right are equal, then the limit of the function exists.
true
false
True or False
300s
STEM_BC11LCIIIa-1
Q2
If the values of the function f(x) from its left and from its right are not equal, then the limit of the function exists.
false
true
True or False
300s
STEM_BC11LCIIIa-1
Q3
The notation $\lim_{x\to2}^{ }\ x^2\ =\ 4$ is read as “the limit of the function x squared as x approaches 4 is 2”.
false
true
True or False
300s
STEM_BC11LCIIIa-1
Q4
The limit of the function $f\left(x\right)=\frac{x^2-5x+6}{x-2}$ as x approaches 2 is -5.
false
true
True or False
300s
STEM_BC11LCIIIa-2
Q5
Given the graph below, the limit of f(x) as x $\rightarrow$ 1 does not exist.
true
false
True or False
300s
STEM_BC11LCIIIa-1
Q6
Find $\lim_{x\to2}2004$
2
0
2004
DNE
300s
STEM_BC11LCIIIa-3
Q7
Find $\lim_{x\to4}\ \frac{x^2+x-20}{x-4}$
1
DNE
-9
9
300s
STEM_BC11LCIIIa-4
Q8
Find $\lim_{k\to0}\ \left|k\right|$
DNE
-1
1
0
300s
STEM_BC11LCIIIa-3
Q9
Find $\lim_{x\to0}\ \frac{\left|x\right|}{x}$
1
DNE
0
-1
300s
STEM_BC11LCIIIa-4
Q10
Find $\lim_{x\to-2}\ \frac{4-x^2}{x+2}$
-1
-4
4
1
300s
STEM_BC11LCIIIa-4
Q11
For the piecewise function: $y=\left\{_{0.\ for\ x<0}^{1,\ for\ x>0}\ \right\}$ find $\lim_{x\to0}$
0
DNE
1/2
1
300s
STEM_BC11LCIIIa-1
Q12
What is $\lim_{x\to2}\ \frac{x^2-4}{x-2}$ ?
0
6
2
4
300s
STEM_BC11LCIIIa-4
Q13
Evaluate $\lim_{x\to4}\ \frac{\sqrt{3x+4}}{x-10}$ .
$-\frac{16}{3}$
$-\frac{8}{3}$
$-\frac{2}{3}$
$-\frac{4}{3}$
300s
STEM_BC11LCIIIa-4
Q14
What is $\lim_{x\to3}\ \frac{x^2-6x+9}{x^2-9}?$
2
0
3
1
300s
STEM_BC11LCIIIa-4
Q15
The function f is defined by:
f(x) = x − 2 for x ≤ 1
f(x) = x² for x > 1
If the value of x approaches 1, which of the following statements is true about the function?
The value of 𝑓(1) = 1.
The limit of the function is 1.
The limit of the function does not exist.
The $\lim_{x\to1}\ f\left(x\right)\ =\ f\left(1\right)$ .
300s
STEM_BC11LCIIIa-1

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Summative Test: Basic Concepts of Limits

Quiz by Dan Russell Ventura

Measures 4 skills fromGrade 11Basic CalculusPhilippines Curriculum: SHS Specialized Subjects (MELC)

Our brand new solo games combine with your quiz, on the same screen

Measures 4 skills from
Grade 11
Basic Calculus
Philippines Curriculum: SHS Specialized Subjects (MELC)