+91-87964 74404
FlagBACK
Question icon
Grade 12Trigonometry

limit n-infinity (4^n + 5^n)^1/n.

Profile image of Arushi Singh
12 Years agoGrade 12
Answers icon

1 Answer

Profile image of Arun Kumar
12 Years ago
Hello Student,
\\ \\\lim _{x\to \infty \:}\left(\left(4^x+5^x\right)^{\frac{1}{x}}\right) \\=\lim _{x\to \infty \:}\left(e^{\frac{1}{x}\ln \left(4^x+5^x\right)}\right) \\=\lim _{x\to \infty \:}\left(e^{\frac{\ln \left(4^x+5^x\right)}{x}}\right) \\=e^{\ln \left(5\right)} \\=5 \\
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 3 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available

Last Activity: 4 Years ago

question mark
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥 
trigonometry
1 Answer Available

Last Activity: 4 Years ago