Question

The number of solutions of the equation $\cos \left[x\right]=e^{2x-1},x\in [0,2\pi ],$ where $[.]$ denotes the greatest integer function is

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is A $1$

It is evident from the graph the two curves intersect at only one point.

Hence, $\left(a\right)$ is the correct answer.