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MATH Solutions By PHANI
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#🏆పోటీ పరీక్షల స్పెషల్
#📘ఇంటర్ సైన్స్ & మ్యాథ్స్
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![🏆పోటీ పరీక్షల స్పెషల్ - SUCCESS PATH SOLUTION: LIMIT EVALUATED Evaluate the following limit: 3 2 7+) n lim + २ + n१ + ३ + . + m2 +1 +00 n2 1.ANALYZE THE TERMS k Sp = ) Define the sum as Sn m२ + k k=1 2. ESTABLISH BOUNDS Lower Bound (Ln) Upper Bound (U) k k Un = _ Ln = n2 + 1] 72 + T k=1 =1 [n(7ಯ 1)] 7(7 + 1) [26+4]| 1 1 72 + 1 72 + Tu २n२ + २ 2 3. APPLY SQUEEZE THEOREM Since both bounds approach the same limit as " _, ೦೦: m2 +m 1 lim Un = lim lim In lim ా 2 2n2 + 2 2 2 n-00 1+೦೦ 00 00 4. FINAL RESULT 1 The Limit is: 2 DQv Your Path to Success SUCCESS PATH SOLUTION: LIMIT EVALUATED Evaluate the following limit: 3 2 7+) n lim + २ + n१ + ३ + . + m2 +1 +00 n2 1.ANALYZE THE TERMS k Sp = ) Define the sum as Sn m२ + k k=1 2. ESTABLISH BOUNDS Lower Bound (Ln) Upper Bound (U) k k Un = _ Ln = n2 + 1] 72 + T k=1 =1 [n(7ಯ 1)] 7(7 + 1) [26+4]| 1 1 72 + 1 72 + Tu २n२ + २ 2 3. APPLY SQUEEZE THEOREM Since both bounds approach the same limit as " _, ೦೦: m2 +m 1 lim Un = lim lim In lim ా 2 2n2 + 2 2 2 n-00 1+೦೦ 00 00 4. FINAL RESULT 1 The Limit is: 2 DQv Your Path to Success - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_669510_3492162a_1782405667280_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=280_sc.jpg "🏆పోటీ పరీక్షల స్పెషల్ - SUCCESS PATH SOLUTION: LIMIT EVALUATED Evaluate the following limit: 3 2 7+) n lim + २ + n१ + ३ + . + m2 +1 +00 n2 1.ANALYZE THE TERMS k Sp = ) Define the sum as Sn m२ + k k=1 2. ESTABLISH BOUNDS Lower Bound (Ln) Upper Bound (U) k k Un = _ Ln = n2 + 1] 72 + T k=1 =1 [n(7ಯ 1)] 7(7 + 1) [26+4]| 1 1 72 + 1 72 + Tu २n२ + २ 2 3. APPLY SQUEEZE THEOREM Since both bounds approach the same limit as \" _, ೦೦: m2 +m 1 lim Un = lim lim In lim ా 2 2n2 + 2 2 2 n-00 1+೦೦ 00 00 4. FINAL RESULT 1 The Limit is: 2 DQv Your Path to Success SUCCESS PATH SOLUTION: LIMIT EVALUATED Evaluate the following limit: 3 2 7+) n lim + २ + n१ + ३ + . + m2 +1 +00 n2 1.ANALYZE THE TERMS k Sp = ) Define the sum as Sn m२ + k k=1 2. ESTABLISH BOUNDS Lower Bound (Ln) Upper Bound (U) k k Un = _ Ln = n2 + 1] 72 + T k=1 =1 [n(7ಯ 1)] 7(7 + 1) [26+4]| 1 1 72 + 1 72 + Tu २n२ + २ 2 3. APPLY SQUEEZE THEOREM Since both bounds approach the same limit as \" _, ೦೦: m2 +m 1 lim Un = lim lim In lim ా 2 2n2 + 2 2 2 n-00 1+೦೦ 00 00 4. FINAL RESULT 1 The Limit is: 2 DQv Your Path to Success - ShareChat")