(f) If (a„) is convergent, then (a,) is monotone and bounded. (g) If f is continuous and A is open, then f'(A) is open.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Write the negation of each statement.
(a) The function f(x) =x -9 is continuous at x = 3.
(b) The relation R is reflexive or symmetric.
(c) Four and nine are relatively prime.
(d) x is in A or x is not in B.
(e) Ifx<7, then f(x) is nọt in C.
(f) If(a,) is convergent, then (a,) is monotone and bounded.
then f(A) is open.
(g) If f is continuous and A is open, then f'(A) is open.
Transcribed Image Text:4. Write the negation of each statement. (a) The function f(x) =x -9 is continuous at x = 3. (b) The relation R is reflexive or symmetric. (c) Four and nine are relatively prime. (d) x is in A or x is not in B. (e) Ifx<7, then f(x) is nọt in C. (f) If(a,) is convergent, then (a,) is monotone and bounded. then f(A) is open. (g) If f is continuous and A is open, then f'(A) is open.
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