f(x)={sinx+1(x≥0),2x-1(x

RELATED INFORMATIONS

• 1. The function f (x) = x + SiNx + 1, if f (a) = 2, then f (- a)=___ X belongs to R
• 2. LIM (SiNx + e ^ x) ^ (1 / x) x tends to 0
• 3. When x approaches 0, LIM (2 ^ X-2 ^ SiNx) / x ^ 3 It's molecular. I can't pour it out
• 4. According to LIM (SiNx / x) = 1, find LIM (tan2x / x) =? X approaches 0, x approaches 0
• 5. When x approaches to 0, find the limit value of LIM (1-sinx) ^ 1 / X Very urgent, to detailed steps, trouble you The answer must be right!!
• 6. Calculus problem, known Lim x → 0 f (x) / x ^ 2 = 1, find Lim x → 0 f (x) =? And then find Lim x → 0 f (x) / x =? The main problem lies in LIM x → 0, x ^ 2 = 0, and it is in the denominator position, so we can not directly think that f (x) = x ^ 2
• 7. Calculus problem, given f (0) = 0, f '(0) = 1, f' '(0) = - 2, find LIM (x → 0) (f (x) - x) / x ^ 2 =? Given that f (0) = 0, f '(0) = 1, f' '(0) = - 2, find LIM (x → 0) (f (x) - x) / x ^ 2 =? For detailed explanation
• 8. Calculus: Lim [(x ^ 3-x ^ 2 + X / 2) e ^ 1 / X - (x ^ 6 + 1) ^ 1 / 2] x → + ∞ It's going to be done with Taylor's remainder
• 9. LIM (x-sinx) / XLN (1 + x ^ 2) x tends to 0
• 10. If f (x) has a second derivative in the field of x = 0, and if x → 0, LIM ((SiNx + XF (x)) \ \ x3) = 1 / 2, find f (0), f '(0), f' '(0)
• 11. Let f (x) be continuous on [0,2], have a second derivative in (0,2), and lim (x approaches 1 / 2) = 0,2 ∫ 1,1 / 2F (x) d (x) =It is proved that there is at least one point δ in (0,2) such that f (δ) = 0
• 12. Let f (x) have the second derivative at x = X. it is proved that the limit of [f (X. + H) - 2F (X.) + F (X. - H)] / h ^ 2 at h → 0 is equal to the second derivative of F (X.)
• 13. Let the second derivative of H (x) be continuous at x = 0, and H (0) = 0, H '(0) is not equal to 0. It is proved that the curve y = f (x) = (1-cosx) H (x) is continuous at x = 0 It is proved that f (x) must have inflection point at x = 0
• 14. F (x) has a second derivative at point x = 0, What does f (x) prove to be n-order differentiable (n > = 2) at x = a
• 15. If f (x) is differentiable on R and has two real roots, it is proved that its derivative has at least one real root; if f (x) has three real roots, it is proved that its second derivative has better one real root Urgent request
• 16. Let f (x) be second-order differentiable on [a, b], and f ″ (x) ＜ 0. It is proved that: ∫ BAF (x) DX ≤ (B-A) f (a + B2)
• 17. Why is the derivative of a function at x0 not equal to the limit value of its derivative at x0
• 18. On the problem of function differentiability, is it required that the left and right derivatives are equal and equal to the derivatives at x0? Or is it only necessary that the left and right derivatives are equal? Or if it is a removable discontinuity point, it means that this derivative does not exist, but this derivative is differentiable?
• 19. For example, the derivative of continuous function is not necessarily continuous F (x) is differentiable everywhere on (a, b), but there exists x0 ∈ (a, b), so that f '(x0) exists, but f' (x) is discontinuous at x0 Who can give such an example?
• 20. A necessary and sufficient condition for a function f (x) to be differentiable at point x0 is that the left and right derivatives of F (x) at point x0 exist and are equal. / / / / / / / / / / / / / / however, a necessary condition for differentiability is continuity. Is this contrary to the first proposition