Express the limits in Exercises 1–8 as definite integrals. 1. lim im 2xAxg, where P is a partition of [0, 2] || P|→0 =1 2. lim 2ck³ Axx, where P is a partition of [-1,0] || P||→0 k=1 3. lim (c,? – P→0 k=1 3cz) Axg, where P is a partition of [-7,5] Ax¢, where P is a partition of [1, 4] 4. lịm ||P|→0 Ck Axg, where P is a partition of [2, 3] 5. lịm 6. lim V4 – cz² Ax¢, where P is a partition of [0, 1] ||Pl→0 k=1 7. lịm || P|→0 =1 (sec c) Axg, where P is a partition of [-7/4,0] 8. lim || P-0 (tan cg) Axx, where P is a partition of [0, T/4] k=1

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Express the limits in Exercises 1–8 as definite integrals.
1. lim
im 2xAxg, where P is a partition of [0, 2]
|| P|→0 =1
2. lim 2ck³ Axx, where P is a partition of [-1,0]
|| P||→0 k=1
3. lim (c,? –
P→0 k=1
3cz) Axg, where P is a partition of [-7,5]
Ax¢, where P is a partition of [1, 4]
4. lịm
||P|→0
Ck
Axg, where P is a partition of [2, 3]
5. lịm
6. lim V4 – cz² Ax¢, where P is a partition of [0, 1]
||Pl→0 k=1
7. lịm
|| P|→0 =1
(sec c) Axg, where P is a partition of [-7/4,0]
8. lim
|| P-0
(tan cg) Axx, where P is a partition of [0, T/4]
k=1
Transcribed Image Text:Express the limits in Exercises 1–8 as definite integrals. 1. lim im 2xAxg, where P is a partition of [0, 2] || P|→0 =1 2. lim 2ck³ Axx, where P is a partition of [-1,0] || P||→0 k=1 3. lim (c,? – P→0 k=1 3cz) Axg, where P is a partition of [-7,5] Ax¢, where P is a partition of [1, 4] 4. lịm ||P|→0 Ck Axg, where P is a partition of [2, 3] 5. lịm 6. lim V4 – cz² Ax¢, where P is a partition of [0, 1] ||Pl→0 k=1 7. lịm || P|→0 =1 (sec c) Axg, where P is a partition of [-7/4,0] 8. lim || P-0 (tan cg) Axx, where P is a partition of [0, T/4] k=1
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