Home › AP EAPCET (Engineering) › Mathematics › Trigonometry: Hyperbolic Functions › In the series for tanh x near 0, the x³ term has…
In the series for tanh x near 0, the x³ term has which coefficient?
A2/15
B1/3
C-1/6
D-1/3
Answer & Solution
Correct answer: D. -1/3
tanh x = x - x³/3 + 2x⁵/15 - ..., so the cubic coefficient is -1/3.
Related questions
The expression (cosh x - 1)/sinh x equals which half-argument value?The sum sinh x + sinh y is the same as 2 sinh((x + y)/2) multiplied by what?Raising cosh x + sinh x to the third power gives which expression?In the complex plane, the hyperbolic tangent and the other derived hyperbolic functions arWhich function links circular and hyperbolic functions without using complex numbers?If c' = s and s' = c with s(0) = 0 and c(0) = 1, then s(x) equals what?Which function f solves f' = 1 - f² with f(0) = 0?In special relativity, hyperbolic functions are used to express which kind of transformati