limit as x approaches 3 of (5x^2-8x-13)/(x^2-5)

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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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taylor tanh²(x)

Solution

x²−23 x⁴+1745 x⁶−62315 x⁸+138214175 x¹⁰+…

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Taylor Series

Taylor series of function f(x) at a is defined as:
f(x)=f(a)+f^′(a)1! (x−a)+f^′′(a)2! (x−a)²+f^′′′(a)3! (x−a)³+…

Apply the Taylor Formula

=0+ddx (sin(19x))(0)1! x+d²dx² (sin(19x))(0)2! x²+d³dx³ (sin(19x))(0)3! x³+…

Evaluate Derivatives

=0+191! x+02! x²+−68593! x³+04! x⁴+24760995! x⁵+06! x⁶+−8938717397! x⁷+08! x⁸+3226876977799! x⁹+…

Refine

=19x−68596 x³+2476099120 x⁵−8938717395040 x⁷+322687697779362880 x⁹+…

Description

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Begin by entering the mathematical function for which you want to compute the limit into the above input field, or scanning the problem with your camera.
Choose the approach to the limit (e.g., from the left, from the right, or two-sided).
Input the point at which you want to evaluate the limit.
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