ExamBro
ExamBro
enEnglishhiहिन्दीguગુજરાતી
JEE Mains · Maths · STD 12 - 1. relation and function

વિધેય \(f(x)\) એ \(f(x)=\frac{5^{x}}{5^{x}+5}\) મુજબ આપેલ છે, તો શ્રેઢી \(f\left(\frac{1}{20}\right)+f\left(\frac{2}{20}\right)+f\left(\frac{3}{20}\right)+\ldots \ldots+f\left(\frac{39}{20}\right)\) નો સરવાળો ...... થાય.

  1. A \(\frac{19}{2}\)
  2. B \(\frac{49}{2}\)
  3. C \(\frac{29}{2}\)
  4. D \(\frac{39}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{39}{2}\)

Step-by-step Solution

Detailed explanation

\(f(x)=\frac{5^{x}}{5^{x}+5} \quad f(2-x)=\frac{5}{5^{x}+5}\) \(f(x)+f(2-x)=1\) \(\Rightarrow f\left(\frac{1}{20}\right)+f\left(\frac{2}{20}\right)+\ldots+f\left(\frac{39}{20}\right)\)…
Same subject
Explore more questions on app
From JEE Mains
Explore more questions on app