If \( \lim _{x \rightarrow \infty}\left(1+\frac{a}{x^{2}}+\frac{b}{x^{3}}\right)^{3 x^{2}}=e^{3} \), then the value of \( a \) a

If \( \lim _{x \rightarrow \infty}\left(1+\frac{a}{x^{2}}+\frac{b}{x^{3}}\right)^{3 x^{2}}=e^{3} \), then the value of \( a \) and \( b \) are, \( a \in R, b \in R \) \( a=1, b \in R \) \( a \in R, b=3 \) \( a=3, b=3 \)

If \( \lim _{x \rightarrow \infty}\left(1+\frac{a}{x^{2}}+\frac{b}{x^{3}}\right)^{3 x^{2}}=e^{3} \), then the value of \( a \) and \( b \) are, \( a \in R, b \in R \) \( a=1, b \in R \) \( a \in R, b=3 \) \( a=3, b=3 \)

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