摘要:6. (是常数),
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常数e=
(1+
)n=2.718281828459…,定义函数f(x)=
为双曲正弦函数,记为sinhx,定义函数g(x)=
为双曲余弦函数,记为coshx.则以下三个命题正确的是
(1)cosh(x+y)=coshx•coshy-sinhx•sinhy;
(2)sinh(x+y)=sinhx•coshy+coshx•sinhy;
(3)(sinhx)2-(coshx)2=1.
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| lim |
| n→∞ |
| 1 |
| n |
| ex-e-x |
| 2 |
| ex+e-x |
| 2 |
(2)
(2)
.(只需填正确命题序号)(1)cosh(x+y)=coshx•coshy-sinhx•sinhy;
(2)sinh(x+y)=sinhx•coshy+coshx•sinhy;
(3)(sinhx)2-(coshx)2=1.