sum from x=1 to infinity of x^n

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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

simplify solve for inverse tangent line

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range cos(2x+5)

Solution

−1≤ f(x)≤ 1

Interval Notation

[−1, 1]

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Domain definition

The domain of a function is the set of input or argument values for which the function is real and defined

Take the denominator(s) of tan(2x−5) and compare to zero: x=10−3π4 +π2 n

Periodicity of tan(2x−5): π2

Combine period: π2 n≤ x<π2 +π2 n and undefined points.
The domain is

π2 n≤ x<10−3π4 +π2 n or 10−3π4 +π2 n<x<π2 +π2 n

Solve instead

domain cos(2x+5)

periodicity cos(2x+5)

amplitude cos(2x+5)

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

sum from x=1 to infinity of x^n

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