Question

Let 𝛼 and 𝛽 be real constants such that$lim_{x-0^+}\frac{∫^x_0(\frac{αt^2}{1+t^4})dt}{βx-sin\,x}$=1 .
Then, the value of 𝛼 + 𝛽 equals ________

Answer 1

The correct answer is: 1.5