Mathematics
GATE MA concept:power-series PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:power-series
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–2 of 2. Imported answers require independent review unless marked reviewed.
Question 35
Open questionMANAT1 markNeeds review
For
, the power series
converges at
and diverges at
. Then the radius of convergence of this power series is equal to ________. (answer in integer)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 42
Open questionMAMSQ2 marksNeeds review
Let
and
be an analytic function given by the power series
, where
and
for
. Consider the following statements:
: If
, then
is one-one in some neighbourhood of
.
: If
, then
is a closed subset of
.Which of the following statements is/are correct?
Your answerSelect all correct options. You can choose more than one.
Log in to check the answer
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