Tolong dijawab yang bener,
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a.
b.
izharulhaq78
![\displaystyle \lim_{x\to1}\frac{\sqrt{5x+4}-3}{\sqrt{3x+1}-2}\\\lim_{x\to1}\frac{\sqrt{5x+4}-3}{\sqrt{3x+1}-2}\times\frac{(\sqrt{5x+4}+3)(\sqrt{3x+1}+2)}{(\sqrt{5x+4}+3)(\sqrt{3x+1}+2)}\\\lim_{x\to1}\frac{[(\sqrt{5x+4})^2-3^2][\sqrt{3x+1}+2]}{[(\sqrt{3x+1})^2-2^2][\sqrt{5x+4}+3]}\\\lim_{x\to1}\frac{[5x+4-9][\sqrt{3x+1}+2]}{[3x+1-4][\sqrt{5x+4}+3]}\\\lim_{x\to1}\frac{[5x-5][\sqrt{3x+1}+2]}{[3x-3][\sqrt{5x+4}+3]}\\\lim_{x\to1}\frac{5[x-1][\sqrt{3x+1}+2]}{3[x-1][\sqrt{5x+4}+3]}](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B%5Csqrt%7B5x%2B4%7D-3%7D%7B%5Csqrt%7B3x%2B1%7D-2%7D%5C%5C%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B%5Csqrt%7B5x%2B4%7D-3%7D%7B%5Csqrt%7B3x%2B1%7D-2%7D%5Ctimes%5Cfrac%7B%28%5Csqrt%7B5x%2B4%7D%2B3%29%28%5Csqrt%7B3x%2B1%7D%2B2%29%7D%7B%28%5Csqrt%7B5x%2B4%7D%2B3%29%28%5Csqrt%7B3x%2B1%7D%2B2%29%7D%5C%5C%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B%5B%28%5Csqrt%7B5x%2B4%7D%29%5E2-3%5E2%5D%5B%5Csqrt%7B3x%2B1%7D%2B2%5D%7D%7B%5B%28%5Csqrt%7B3x%2B1%7D%29%5E2-2%5E2%5D%5B%5Csqrt%7B5x%2B4%7D%2B3%5D%7D%5C%5C%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B%5B5x%2B4-9%5D%5B%5Csqrt%7B3x%2B1%7D%2B2%5D%7D%7B%5B3x%2B1-4%5D%5B%5Csqrt%7B5x%2B4%7D%2B3%5D%7D%5C%5C%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B%5B5x-5%5D%5B%5Csqrt%7B3x%2B1%7D%2B2%5D%7D%7B%5B3x-3%5D%5B%5Csqrt%7B5x%2B4%7D%2B3%5D%7D%5C%5C%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B5%5Bx-1%5D%5B%5Csqrt%7B3x%2B1%7D%2B2%5D%7D%7B3%5Bx-1%5D%5B%5Csqrt%7B5x%2B4%7D%2B3%5D%7D "\displaystyle \lim_{x\to1}\frac{\sqrt{5x+4}-3}{\sqrt{3x+1}-2}\\\lim_{x\to1}\frac{\sqrt{5x+4}-3}{\sqrt{3x+1}-2}\times\frac{(\sqrt{5x+4}+3)(\sqrt{3x+1}+2)}{(\sqrt{5x+4}+3)(\sqrt{3x+1}+2)}\\\lim_{x\to1}\frac{[(\sqrt{5x+4})^2-3^2][\sqrt{3x+1}+2]}{[(\sqrt{3x+1})^2-2^2][\sqrt{5x+4}+3]}\\\lim_{x\to1}\frac{[5x+4-9][\sqrt{3x+1}+2]}{[3x+1-4][\sqrt{5x+4}+3]}\\\lim_{x\to1}\frac{[5x-5][\sqrt{3x+1}+2]}{[3x-3][\sqrt{5x+4}+3]}\\\lim_{x\to1}\frac{5[x-1][\sqrt{3x+1}+2]}{3[x-1][\sqrt{5x+4}+3]}")
![\displaystyle \lim_{x\to1}\frac{5[\sqrt{3x+1}+2]}{3[\sqrt{5x+4}+3]}\\\\\frac{5[\sqrt{3(1)+1}+2]}{3[\sqrt{5(1)+4}+3]}\\\frac{5[\sqrt{4}+2]}{3[\sqrt{9}+3]}\\\frac{5[2+2]}{3[3+3]}\\\frac{5[4]}{3[6]}\\\frac{5[2]}{3[3]}\\\frac{10}{9}\\\boxed{\boxed{1\frac{1}{9}}}](https://tex.z-dn.net/?f=%5Cdisplaystyle+%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B5%5B%5Csqrt%7B3x%2B1%7D%2B2%5D%7D%7B3%5B%5Csqrt%7B5x%2B4%7D%2B3%5D%7D%5C%5C%5C%5C%5Cfrac%7B5%5B%5Csqrt%7B3%281%29%2B1%7D%2B2%5D%7D%7B3%5B%5Csqrt%7B5%281%29%2B4%7D%2B3%5D%7D%5C%5C%5Cfrac%7B5%5B%5Csqrt%7B4%7D%2B2%5D%7D%7B3%5B%5Csqrt%7B9%7D%2B3%5D%7D%5C%5C%5Cfrac%7B5%5B2%2B2%5D%7D%7B3%5B3%2B3%5D%7D%5C%5C%5Cfrac%7B5%5B4%5D%7D%7B3%5B6%5D%7D%5C%5C%5Cfrac%7B5%5B2%5D%7D%7B3%5B3%5D%7D%5C%5C%5Cfrac%7B10%7D%7B9%7D%5C%5C%5Cboxed%7B%5Cboxed%7B1%5Cfrac%7B1%7D%7B9%7D%7D%7D "\displaystyle \lim_{x\to1}\frac{5[\sqrt{3x+1}+2]}{3[\sqrt{5x+4}+3]}\\\\\frac{5[\sqrt{3(1)+1}+2]}{3[\sqrt{5(1)+4}+3]}\\\frac{5[\sqrt{4}+2]}{3[\sqrt{9}+3]}\\\frac{5[2+2]}{3[3+3]}\\\frac{5[4]}{3[6]}\\\frac{5[2]}{3[3]}\\\frac{10}{9}\\\boxed{\boxed{1\frac{1}{9}}}")
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