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radius of convergence sum from n=0 to infinity of (x^n)/(n!)

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f(x)=x²+4x−45x²+x−30

Solution

Domain: x<−6 or −6<x<5 or x>5

Range: f(x)<1 or 1<f(x)<1411 or f(x)>1411

X Intercepts: (−9, 0), Y Intercepts: (0, 32 )

Asymptotes: Vertical x=−6, Horizontal y=1

Extreme Points: None

Interval Notation

Domain: (−∞ , −6)∪(−6, 5)∪(5, ∞ )

Range: (−∞ , 1)∪(1, 1411 )∪(1411 , ∞ )

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Domain of x²+4x−45x²+x−30 : x<−6 or −6<x<5 or x>5

Range of x²+4x−45x²+x−30 : f(x)<1 or 1<f(x)<1411 or f(x)>1411

Axis interception points of x²+4x−45x²+x−30 : X Intercepts: (−9, 0), Y Intercepts: (0, 32 )

Asymptotes of x²+4x−45x²+x−30 : Vertical: x=−6, Horizontal: y=1

Extreme Points of x²+4x−45x²+x−30 : None

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

radius of convergence sum from n=0 to infinity of (x^n)/(n!)

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