$$\lim_{x \to \infty} \coth{\left(x \right)} = 1$$ $$\lim_{x \to 0^-} \coth{\left(x \right)} = -\infty$$ More at x→0 from the left $$\lim_{x \to 0^+} \coth{\left(x \right)} = \infty$$ More at x→0 from the right $$\lim_{x \to 1^-} \coth{\left(x \right)} = \frac{1 + e^{2}}{-1 + e^{2}}$$ More at x→1 from the left $$\lim_{x \to 1^+} \coth{\left(x \right)} = \frac{1 + e^{2}}{-1 + e^{2}}$$ More at x→1 from the right $$\lim_{x \to -\infty} \coth{\left(x \right)} = -1$$ More at x→-oo
The graph
To see a detailed solution - share to all your student friends
To see a detailed solution, share to all your student friends: