Limit √x²-3x+1 - √x²+4x+1 / 2x
x⇒0
x⇒0
IcukSugiarto
![\displaystyle\\\\=\lim_{x \to 0}~ \frac{ (x^2-3x+1)- (x^2+4x+1) }{2x(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})}\\\\=\lim_{x \to 0}~ \frac{ x^2-3x+1-x^2-4x-1 }{2x(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})} \\\\=\lim_{x \to 0}~ \frac{ -7x }{2x(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})} ~~~~~~~~~~~~[coret\ x]\\\\=\lim_{x \to 0}~ \frac{ -7}{2(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})} \\\\$Subtitusi nilai x$\displaystyle \\\\=~ \frac{ -7}{2(\sqrt{0^2-3(0)+1}+ \sqrt{0^2+4(0)+1})} \\\\=~ \frac{ -7}{2(\sqrt{1}+ \sqrt{1})}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+0%7D%7E+%5Cfrac%7B+%28x%5E2-3x%2B1%29-+%28x%5E2%2B4x%2B1%29++%7D%7B2x%28%5Csqrt%7Bx%5E2-3x%2B1%7D%2B+%5Csqrt%7Bx%5E2%2B4x%2B1%7D%29%7D%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+0%7D%7E+%5Cfrac%7B+x%5E2-3x%2B1-x%5E2-4x-1++%7D%7B2x%28%5Csqrt%7Bx%5E2-3x%2B1%7D%2B+%5Csqrt%7Bx%5E2%2B4x%2B1%7D%29%7D+%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+0%7D%7E+%5Cfrac%7B+-7x++%7D%7B2x%28%5Csqrt%7Bx%5E2-3x%2B1%7D%2B+%5Csqrt%7Bx%5E2%2B4x%2B1%7D%29%7D+%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%5Bcoret%5C+x%5D%5C%5C%5C%5C%3D%5Clim_%7Bx+%5Cto+0%7D%7E+%5Cfrac%7B+-7%7D%7B2%28%5Csqrt%7Bx%5E2-3x%2B1%7D%2B+%5Csqrt%7Bx%5E2%2B4x%2B1%7D%29%7D+%5C%5C%5C%5C%24Subtitusi+nilai+x%24%5Cdisplaystyle+%5C%5C%5C%5C%3D%7E+%5Cfrac%7B+-7%7D%7B2%28%5Csqrt%7B0%5E2-3%280%29%2B1%7D%2B+%5Csqrt%7B0%5E2%2B4%280%29%2B1%7D%29%7D+%5C%5C%5C%5C%3D%7E+%5Cfrac%7B+-7%7D%7B2%28%5Csqrt%7B1%7D%2B+%5Csqrt%7B1%7D%29%7D "\displaystyle\\\\=\lim_{x \to 0}~ \frac{ (x^2-3x+1)- (x^2+4x+1) }{2x(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})}\\\\=\lim_{x \to 0}~ \frac{ x^2-3x+1-x^2-4x-1 }{2x(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})} \\\\=\lim_{x \to 0}~ \frac{ -7x }{2x(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})} ~~~~~~~~~~~~[coret\ x]\\\\=\lim_{x \to 0}~ \frac{ -7}{2(\sqrt{x^2-3x+1}+ \sqrt{x^2+4x+1})} \\\\$Subtitusi nilai x$\displaystyle \\\\=~ \frac{ -7}{2(\sqrt{0^2-3(0)+1}+ \sqrt{0^2+4(0)+1})} \\\\=~ \frac{ -7}{2(\sqrt{1}+ \sqrt{1})}")
2 votes
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IcukSugiarto
oke siip :)
DinaMS
nanti ak tanya lg ya kak, kalau ada yg blum paham
IcukSugiarto
iya dek :D
DinaMS
Ee kak, yg td kakk mengeposkan jwbnya itu buat seperti itu aja kak . gak paham ak kalau di buat sprti itu .
IcukSugiarto
Yg di profil ya, hehehe memang fitur comment profil nda bisa di buat sperti ini formatnya jadi saran saya, posting pertanyaannya di kolom pertanyaan dek, krn akan memudahkan penjawab dlm menjawab soalnya adek, krn fitur kolom jawaban lebih lengkap dan mudah dipahami
DinaMS
iya kak, ak posting dulu ke kolom pertanyaan ya .
IcukSugiarto
siip
DinaMS
sudah kak .
DinaMS
SUDAH kak .
IcukSugiarto
segera saya lihat ya
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