Exercise
$\lim_{x\to0}\left(\frac{1}{x}-\frac{1}{sin^2x}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of 1/x+-1/(sin(x)^2) as x approaches 0. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. The limit of a sum of two or more functions is equal to the sum of the limits of each function: \displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x)). Evaluate the limit \lim_{x\to0}\left(\frac{1}{x}\right) by replacing all occurrences of x by 0. An expression divided by zero tends to infinity.
Find the limit of 1/x+-1/(sin(x)^2) as x approaches 0
Final answer to the exercise
The limit does not exist