Search for: The value of limn→∞ 1⋅2+2⋅3+3⋅4+…+n(n+1)n3 ,is The value of limn→∞ 1⋅2+2⋅3+3⋅4+…+n(n+1)n3 ,is A1B-1C13Dnone of these Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:We have, limn→∞ 1⋅2+2⋅3+3⋅4+…+n(n+1)n3=limn→∞ ∑r=1n r(r+1)n3=limn→∞ ∑r=1n r2+∑r=1n rn3=limn→∞ n(n+1)(2n+1)6+n(n+1)2n3=limn→∞ n(n+1)(n+2)3n3=13Post navigationPrevious: limx→∞ xx+1a+sin1xx is equal to Next: The value of limx→1 log55xlogx5, isRelated content NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023 NEET Crash Course – NEET Crash Course 2023