Eim x->3 (x^2x+4); Eim (4x^2-6x+1); eim->0 2 x^2+3; eim x->0 5 7x+2 ; eim x->0 3x^2 -5x^3+4 4x^4-7x^2+5

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To find the limit of each expression as x approaches a certain value, we can simply substitute that value into the expression and evaluate it.

1) (\lim_{{x \to 3}} (x^2 + 4)) = (3^2 + 4) = (9 + 4) = 13

2) (\lim_{{x \to 0}} (4x^2 - 6x + 1)) = (4(0)^2 - 6(0) + 1) = (0 - 0 + 1) = 1

3) (\lim_{{x \to 0}} (2x^2 + 3)) = (2(0)^2 + 3) = (0 + 3) = 3

4) (\lim_{{x \to 0}} (7x + 2)) = (7(0) + 2) = (0 + 2) = 2

5) (\lim_{{x \to 0}} (3x^2 - 5x^3 + 4)) = (3(0)^2 - 5(0)^3 + 4) = (0 - 0 + 4) = 4

6) (\lim_{{x \to 0}} (4x^4 - 7x^2 + 5)) = (4(0)^4 - 7(0)^2 + 5) = (0 - 0 + 5) = 5

Therefore, the limits of the given expressions as x approaches the specified values are:

1) (\lim_{{x \to 3}} (x^2 + 4)) = 13

2) (\lim_{{x \to 0}} (4x^2 - 6x + 1)) = 1

3) (\lim_{{x \to 0}} (2x^2 + 3)) = 3

4) (\lim_{{x \to 0}} (7x + 2)) = 2

5) (\lim_{{x \to 0}} (3x^2 - 5x^3 + 4)) = 4

6) (\lim_{{x \to 0}} (4x^4 - 7x^2 + 5)) = 5