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x→∞lim​ x 2 +3 x 2 x +x 3 ​ ​ =A.2332​ B.Does not existC.1D.3223​ E.

Question

x→∞lim​ x 2 +3 x 2 x +x 3 ​ ​ =A.2332​ B.Does not existC.1D.3223​ E.

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Solution

The given expression seems to be a bit unclear, but if it's meant to be (x^2 + 3x^2) / (x + x^3), then we can simplify and solve it as follows:

Step 1: Simplify the expression The expression simplifies to 4x^2 / (x + x^3).

Step 2: Divide each term by x^3 This gives us 4/x / (1/x^2 + 1).

Step 3: As x approaches infinity, any term with x in the denominator approaches 0. So, the expression simplifies to 0 / (0 + 1) = 0.

Therefore, the limit of the given expression as x approaches infinity is 0. However, this option is not given in your list of possible answers. Please check the expression and the options again.

This problem has been solved

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