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When x approaches 0, the infinitesimals equivalent to sin3x are? A, 2x B, 3x C, 2x ^ 2 D, 3 (x-1)
B
When x → 0, the infinitesimal equivalent to 3x & sup2; + 2x & sup3; is? A 2x & sup3; B 3x & sup2; C X & sup2; D x & sup3; for detailed explanation
When x → 0
X & sup3; is infinitesimal of higher order than X & sup2
So you can give up
So it's 3x & sup2;
Choose B
When x tends to zero, the sum of sin (2x) + X * 2 is divided by the limit of Tan (3x)
In the first part, sin (2x) / Tan (3x) - > 2 / 3
The second part, x ^ 2 / Tan (3x) - > x ^ 2 / 3x - > 0
So the limit is 2 / 3
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