You need to give more information. Please tell me which trig function and which limit and I will be happy to answer your question. Some of these limits exists and some do not.
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Yes, but it is called a hyberbolic trigonometric function
It is a trigonometric function. It is also continuous.
The trigonometric function of an angle gives a certain value The arc trigonometric function of value is simply the angle For example, if sin (30 degrees) = 0.500 then arc sine ( 0.500) = 30 degrees
An antitrigonometric function is another term for an inverse trigonometric function.
opposite/hypotenuse