limit as n approaches infinity of \sum_{i=1}^n 5/(n^3)(i-1)^2

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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lim_{n→ ∞}(∑_i=1ⁿ5n³ (i−1)²)

Solution

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1.66666…

Mixed Number

123

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lim_{n→ ∞}(∑_i=1ⁿ5n³ (i−1)²)

Limit of Sum definition

The definite integral is defined as: lim_{n→ ∞}(∑_i=1ⁿ(f(c_i)Δ x))=∫_a^bf(x)dx
Where Δx=b−an , and c_i=a+Δx⋅i

Apply the limit of sum formula: ∫₀¹5x²dx

Solve ∫₀¹5x²dx: 53

=53

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

limit as n approaches infinity of \sum_{i=1}^n 5/(n^3)(i-1)^2

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