Question

The number of real solution of $e^x=1+\sin x$ is

• A. $0$
• B. $1$
• C. $2$
• D. Not finite

Answer 1

The correct option is C $2$

the max value of $1+sinx$ is $2$ and the minimum value is $0$,

the integral value of $e^x$ is 1,

When $x=0$ the equation is satisfied,

the number of integral solutions are 1,

the number of real solutions are 2,

from the graph.