Math  /  Calculus

QuestionQ35) limx(3x1)2(2x2+1)5x(3x+3)3\lim _{x \rightarrow \infty} \frac{(3 x-1)^{2}\left(2 x^{2}+1\right)}{5 x(3 x+3)^{3}} ? a) 155\frac{15}{5} b) 25\frac{2}{5} c) 215\frac{2}{15} d) None

Studdy Solution
Calculate the limit of the simplified expression as x x approaches infinity:
limx18x4135x4=18135=215\lim_{x \to \infty} \frac{18x^4}{135x^4} = \frac{18}{135} = \frac{2}{15}
The value of the limit is:
215 \boxed{\frac{2}{15}}

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