Use the definitions of the hyperbolic functions to find each of the following limits. \text { (a) } \lim _{x \rightarrow \infty} \tanh x \text { (b) } \lim \tanh

x \text { (c) } \lim \sinh x \text { (d) } \lim _{x \rightarrow-x} \sinh x \text { (e) } \lim _{x \rightarrow \infty} \operatorname{sech} x \text { (f) } \lim _{x \rightarrow \infty} \text { coth } x \text { (g) } \lim _{x \rightarrow 0^{1}} \operatorname{coth} x \text { (h) } \lim _{x \rightarrow 0} \operatorname{coth} x \lim _{x \rightarrow-\infty} \operatorname{csch} x \lim _{x \rightarrow \infty} \frac{\sinh x}{e^{x}}