sinh x = x + (x^3)/6 + (x^5)/120 + (x^7)/5040
put in the values of x into this
0.5 + (0.5^3)/6 + (0.5^5)/120 + (0.5^7)/5040 = 0.5210953
2 + (2^3)/6 + (2^5)/120 + (2^7)/5040 = 3.62539683
to check these are correct type into google
sinh(0.5)
or
sinh(2)
sorry and the formula for the power series of sinh is
sinh(x) = x + (x^3)/ 3! + (x^5)/5! + .... + (x^(2n+1)) / (2n+1)!
the maclaurin series which is a Taylor series expansion of a function about 0