Mathematics
2019 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2019 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.
Question 9
Open questionMAMCQ1 markNeeds review
Let
be defined by
(
is the set of all real numbers and
)Which one of the following statements is TRUE?
Your answerChoose one option.
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Open questionMAMCQ1 markNeeds review
Let
be any sequence of real numbers such that
. If the radius of convergence of
is
, then which one of the following statements is necessarily TRUE?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 11
Open questionMAMCQ1 markNeeds review
Let
be the co-countable topology on
(the set of real numbers) and
be the co-finite topology on
.Consider the following statements:
I. In
, the sequence
converges to 0.II. In
, the sequence
converges to 0.III. In
, there is no sequence of rational numbers which converges to
.IV. In
, there is no sequence of rational numbers which converges to
.Which of the above statements are TRUE?
Your answerChoose one option.
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