Hi,
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Followong is the PDA.
As provided L is divided into L1, L2, L3, L4.
L1 is accepted at q0.
L2 is accepted by q0 -> q1 -> q4.
L3 is accepted by the path q0 -> q2 -> q3
L4 is accepted by the path q0 -> q1 -> q2 -> q3 -> q4
q0, q3,q4 are final states
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Hope this helps
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Thanks
11. Let an >0 and assume that bn = n+1 + B. What can we say about the convergence of an? an
PDA:
please give me a PDA for the language.
You don't have to draw a diagram, but please illustrate the PDA
something like this:
1.δ(q0,0, Z0)={(q0,0Z0)}
2.δ(q0,1, Z0)={(q0,1Z0)}
......
12.δ(q1, e, Z0)={(q2, Z0)}
Thank you!
(b) {Oʻ11 2k | i, j, k > 0 and i = j or i = k}
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Suppose that an >0 and bn >0 for all n2N (N an integer). If lim = , what can you conclude about the convergence of an? A. a, diverges if by diverges, and an converges if bn converges. an diverges if by diverges. c. a, converges if be converges. OD. The convergence of an cannot be determined.
PROVE BY INDUCTION
Prove the following statements: (a) If bn is recursively defined by bn = bn-1 + 3 for all integers n > 1 and bo = 2, then bn = 3n + 2 for all n > 0. (b) If an is recursively defined by cn = 3Cn-1 + 1 for all integers n > 1 and Co = 0, then cn = (3” – 1)/2 for all n > 0. (c) If dn is recursively defined by...
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where 7 is the region defined by >0, y >0, >0, r+y+z<3.
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