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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- True / False For every intger n >1 , the inequality (n !)^(1//n)<(n+1)...
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- If x ,y in R^+ satisfying x+y=3, then the maximum value of x^2y is.
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- For anyx ,y , in R^+,x y >0 . Then the minimum value of (2x)/(y^3)+(x...
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- If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value o...
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- Given that x ,y ,z are positive real such that x y z=32. If the minimu...
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- If the product of n positive numbers is n^n , then their sum is (a)...
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- If a,b,c are different positive real numbers such that b+c−a,c+a−b and...
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- Find the greatest value of x^2 y^3, where x and y lie in the first qua...
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- Find the maximum value of (7−x)^4 (2+x)^5 when x lies between −2 and ...
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- If a1, a2,...... ,an >0, then prove that (a1)/(a2)+(a2)/(a3)+(a3)/(a4...
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- If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)...
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- If a ,b ,a n dc are positive and a+b+c=6, show that (a+1//b)^2+(b+1/...
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- Prove that [(x^2+y^2+z^2)/(x+y+z)]^(x+y+z)> x^x y^y z^z >[(x+y+z)/3]^(...
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- Prove that 1^1xx2^2xx3^3xxxxn^nlt=[(2n+1)//3]^(n(n+1)//2),n in Ndot
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- Prove that 2/(b+c)+2/(c+a)+2/(a+b)lt1/a+1/b+1/c ,where a ,b ,c>0.
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- The minimum value of 2^sinx+2^cosx
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- In how many parts an integer N>=5 should be dissected so that the pro...
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- In triangle ABC internal angle bisector AI,BI and CI are produced to m...
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- The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...
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- If x+y+z=1a n dx ,y ,z are positive, then show that (x+1/x)^2+(y+1/y)^...
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