limit as x approaches infinity of 2x^4-x^2-8x

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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

lhopital squeeze chain factoring sandwich

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shift 2sin(5x)

Solution

Phase:0, Vertical:0

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Shift definition

For f(x)=A·g(Bx−C)+D, where g(x) is one of the basic trig functions,
CB is phase shift
D is vertical shift

f(x)=2sin(5x)
g(Bx−C)=sin(5x), B=5, C=0, D=0
Therefore, the phase shift CB is 05

The vertical shift D is 0

Solve instead

domain 2sin(5x)

range 2sin(5x)

periodicity 2sin(5x)

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