Property 5
Limit of Trigonometric Functions
Sinus and cosinus functions are defined and continuous in all real numbers.
Tangent and cotangent functions are defined and continuous in the defined interval.
Tangent function is undefined on \(\samefrac\pi2+k\cdot\pi\ (k\in\mathbb Z)\) points.
cotanient functions are undefined in the \(k\cdot\pi\ (k\in\mathbb Z)\) points.
On undefined points right-hand and left-hand limits are analysed.
1.
\(\lim\limits_{x\to\samefrac\pi3}(\sin x)=?\)
2.
\(\lim\limits_{x\to\pi}(\cos x)=?\)