Suppose SCC and z €Cis a boundary point of S. Choose the statement which cannot be false. O a. There exists a neighbourhood of z that is completely contained in S O b. Every neighbourhood of z is completely contained in S Oc There exists a neighbourhood of z that is completely contained in the complement of S. O d. Every neighbourhood of z is completely contained in the complement of S. O e. Every deleted neighbourhood of z contains at least one point in S and at least one point not in S O L Every neighbourhood of z contains at least one point in S and at least one point not in S
Suppose SCC and z €Cis a boundary point of S. Choose the statement which cannot be false. O a. There exists a neighbourhood of z that is completely contained in S O b. Every neighbourhood of z is completely contained in S Oc There exists a neighbourhood of z that is completely contained in the complement of S. O d. Every neighbourhood of z is completely contained in the complement of S. O e. Every deleted neighbourhood of z contains at least one point in S and at least one point not in S O L Every neighbourhood of z contains at least one point in S and at least one point not in S
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose SCC and z e C is a boundary point of S. Choose the statement which cannot be false.
O a. There exists a neighbourhood of z that is completely contained in S
O b. Every neighbourhood of z is completely contained in S
O c. There exists a neighbourhood of z that is completely contained in the complement of S.
O d. Every neighbourhood of z is completely contained in the complement of S.
O e. Every deleted neighbourhood of z contains at least one point in S and at least one point not in S
f. Every neighbourhood of z contains at least one point in S and at least one point not in S
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