There is only one root for the quick verification equation SiNx = X

It is proved that if f (x) = SiN x, then f '(x) = cos x 1 ≤ 0. F (x) decreases monotonically in (∞, + ∞). F (x) = sin X-1 = 0 has at most one root, while f (0) = 0, f (x) = 0 has and only one root, that is, the equation SiN x = x has only one root
Look at the last question in resources

RELATED INFORMATIONS

1. Verification: no matter what the real number of M is, the straight line (2m-1) x - (M = 3) y - (M-11) = 0 is constant over a certain point, and the fixed-point coordinates are obtained
2. Given the M & # 178; - 3 power + m + 1 of the first-order function y = (m-2) x, several problems are raised to solve the function expression, To be complete We need to raise a few more questions
3. To solve the rational number formula: - 32 × (- 1 / 2) to the third power + (- 1 / 27) × (- 3) to the second power
4. Finding the derivative of lgx + SiNx of y = C
5. The value of the derivative of the function y = x2lg2 + 2 to the x power lgx at x = 1 is
6. -What is the x-th derivative of 3?
7. (1) The third power of lgx = - 3 to find the value of X
8. Lgx power of x = 10 ball x
9. Let a and B be the two roots of the equation (lgx) ^ 2-lgx ^ 2-2 = 0. Find logab (note a is the subscript. B is the superscript. + logba (Note b is the subscript. A is the superscript) =?
10. Using dichotomy to find the approximate interval of the real root of the - x power - 2x + 5 = 0 of equation 2
11. SiNx = 1 / 2, find the expression of X
12. The equation: (1 / 2) ^ x + sinx-1 = 0 has several solutions Is there a solution less than 0?
13. Given that one root of the equation x2-ax + A-1 = 0 is greater than 0 and the other root is less than - 2, the value range of real number a is
14. If the two real number roots of the equation x2 + (M-3) x + M = 0 about X are unequal positive numbers, then the value range of real number m is______ ．
15. When the value of K is, the equation (x-1) / X - (8x + k) / 2x (x-1) + X / (x-1) = 0 about X has and only one real number is its root? And the real root is obtained
16. The real root of the equation x2 + 2x + K + 1 = 0 of X is x1, X2 if X1 + x2-x1x2
17. If one of the roots of the equation x & # 178; - kx-6 = 0 about X is - 6, what is the value of the real number k?
18. (2013 · Anshun) it is known that one root of the equation x2-kx-6 = 0 about X is x = 3, then the value of real number k is () A. 1B. -1C. 2D. -2
19. For the equation of X, the square of X + 2 (K + 1) x + k = 0, the sum of two real numbers is m, and for the inequality system of Y > - 4, y < m, there is a real number solution, then the value range of K is
20. On the equation x & # 178; + KX + 4K & # 178; = K-3 = 0 of X, there are two unequal real roots, one of which is 0 If there is m, the absolute value of the difference between the two is 1