The value of lim_n → ∞ dfrac1+2-3+4+5-6+......+(3n-2)+(3n-1)-3n√(2n^4+4n+3)-√(n^4+5n+4) is:

The value of lim_n → ∞ dfrac1+2-3+4+5-6+......+(3n-2)+(3n-1… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 25 Jan · Shift 1

The value of

\lim_{n \to \infty} \dfrac{1+2-3+4+5-6+......+(3n-2)+(3n-1)-3n}{\sqrt{2n^4+4n+3}-\sqrt{n^4+5n+4}}

is:

Show answer

Correct option: D

[JEE Main 2023 · 25 Jan · Shift 1]

Practise Limits Continuity and Differentiability the way it is asked

A timed set of real JEE Main Limits Continuity and Differentiability questions, graded as the exam grades. No sign-up.