Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to ±0, or otherwise divergent (not to too). If it is convergent, find its limit. If it is divergent, find its lim sup and lim inf. (c) lim n³ - (-1)" n n∞ 2n³n² +3 - (d) lim (-1)".n² no n² +(-1)"
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- Determine lim an for each sequence (a,) If the limit doesn't exist, explain why. n- 00 4n2 • a. an %3D 2n3 + 5n+1 1+(- 1)" %3D .b.an (- 1)" n3 • C.an1Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". 6 - 4n + 9" lim n- 00
- Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. (If it diverges to infinity, state your answer as inf . If it diverges to negative infinity, state your answer as -inf . If it diverges without being infinity or negative infinity, state your answer as div .) 12(5") + 17 lim 11(2") Answer:Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV. lim n→∞ 6(n!) (-8)nDetermine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". lim n→ ∞ 17n + 11 11"
- Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-o0". If it diverges without being infinity or negative infinity, state your answer as "DNE". n" lim n+ 00 e4nDetermine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". lim n→∞ n4 - 6n eDetermine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-o0". If it diverges without being infinity or negative infinity, state your answer as "DNE". 13 lim 6n + 3" n→ 00
- Calculations. For each sequence, explain whether it is conver- gent, divergent to ±∞, or otherwise divergent (not to ±∞). If it is convergent, find its limit. Don't use L'Hopital.2Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as "oo" (without the quotation marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges without being infinity or negative infinity, state your answer as "DNE". n² lim - 8n e n 00