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Functions question

2024 · Shift 2 · Q27

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PYQ Library
JEE Advanced
Mathematics
Functions
2024 · Shift 2 · Q27

Functions question

2024 · Shift 2 · Q27

JEE AdvancedMathematicsFunctionsNumerical+4 / −1

Let the function

f: \mathbb{R} \rightarrow \mathbb{R}

be defined by

f(x)=\frac{\sin x}{e^{\pi x}} \frac{\left(x^{2023}+2024 x+2025\right)}{\left(x^2-x+3\right)}+\frac{2}{e^{\pi x}} \frac{\left(x^{2023}+2024 x+2025\right)}{\left(x^2-x+3\right)} .

Then the number of solutions of

f(x)=0

in

\mathbb{R}

is

\underline{\hspace{2cm}}

.

Numerical answer

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