Matematika tentukan hasil dari:[tex] \rm{Lim_{x\to5}{ (\: {x}^{2} - x! + 9)}} \: + \: Lim_{x\to2}{(3x - {x}^{2} + \frac{10}{x})}[/tex]​

sylvesterblandaulv – April 08, 2023

tentukan hasil dari:
[tex] \rm{Lim_{x\to5}{ (\: {x}^{2} - x! + 9)}} \: + \: Lim_{x\to2}{(3x - {x}^{2} + \frac{10}{x})}[/tex]
​

Lim (x² - x! + 9)

x → 5

+

Lim (3x - x² + 10/x)

x → 2

(5² - 5! + 9) + (3(2) - 2²+ 10/2)

= (5(5) - (5.4.3.2.1) + 9) + (3(2) - 2(2) + 5)

= (5(5) - (20.3.2.1) + 9) + (3(2) - 2(2) + 5)

= (5(5) - (60.2.1) + 9) + (3(2) - 2(2) + 5)

= (5(5) - (120.1) + 9) + (3(2) - 2(2) + 5)

= (25 - 120 + 9) + (6 - 4 + 5)

= (-95 + 9) + (2 + 5)

= -86 + 7

= -79

:)

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Lim (x² - x! + 9) + Lim ( 3x - x² + 10/x)

x → 5 x → 2

(5² - 5! + 9) + (3(2) - 2² + 10/2)

= (5(5) - 5(4)(3)(2)(1) + 9) + (3(2) - 2(2) + 10/2)

= (5(5) - 5(4)(3)(2) + 9) + (3(2) - 2(2) + 10/2)

= (5(5) - 5(4)(6) + 9) + (3(2) - 2(2) + 10/2)

= (5(5) - 5(24) + 9) + (3(2) - 2(2) + 10/2)

= (25 - 120 + 9) + (6 - 4 + 5)

= (25 - 111) + (6 + 1)

= -86 + 7

= -79

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