Existential Statements Quizzes, Questions & Answers

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Test Your Knowledge About Existence Theorems

Existence theorems regroup any mathematical or scientific statement beginning with "there exists...", or "for all x,y there exists...", etc. In other words, it is a theorem with a prenex normal form involving...

Questions: 10 | Attempts: 138 | Last updated: Mar 19, 2023

Sample Question 1
What is constructive mathematics?

It is the continuity of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the stagnation of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the improvement of a function such as a sin x proven as a constructive bound on the modulus of continuity

It is the continuity of a function such as a tan x proven as a constructive bound on the modulus of continuity

Sample Question 2
What is the axiom of infinity?

It's a very complicated rule.

It's the principle behind plus and minus infinity.

It is 1 of the axioms of Zermelo-Fraenkel set theory.

It is 1 of the axioms of the Newton set theory.

Existence Theorem Assessment Test

Existence theorems are mathematical theorems with a statement that begins with 'there exist(s)..'. It is a theorem with a prenex normal form involving the existential quantifier. Take this test to find...

Questions: 10 | Attempts: 153 | Last updated: Mar 20, 2023

Sample Question 1
Find the differential dy of the given function. y= 3x 2 - 4

40x dx

12x dx

6x dx

36x dx

Sample Question 2
Find the limit. lim(4 + 3/x) x->∞

1

2

3

4