(b) Evaluate the following limits (i) \( \lim _{x \rightarrow 0} \frac{1+3 x-e^{3 x}}{x^{2}} \) [3 marks] (ii) \( \lim _{x \rightarrow \infty} \frac{3 x^{2}+\frac{1}{x}}{\sqrt{x^{4}+2 x}} \) [3 marks] (iii) \( \lim _{x \rightarrow 0} \frac{\sqrt{e^{x}+x}-\sqrt{e^{x}}}{x} \) [4 marks]
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### (i) \( \lim _{x \rightarrow 0} \frac{1+3 x-e^{3 x}}{x^{2}} \) ** Show moreβ¦
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