Prove that for every real number `[x+[x+1/n] +[x+2/n]+...+[x+(n-1)/n]=[nx]`

Prove that (1+x)^(n) ge (1+nx) for all natural number n where x gt -1

Prove that (1+x)^(n) ge (1+nx) for all natural number n where x gt -1

Prove that (1+x)^(n) ge (1+nx) for all natural number n where x gt -1

Prove that (1+x)^(n) ge (1+nx) for all natural number n where x gt -1

Prove that (1+x)^n gt= (1+nx) , for all natural number n, where x> -1

Let p and q be real number such that x^(2)+px+q ne0 for every real number x. Prove that if n is an odd positive integer, then X^(2)+pX+qI_(n)ne 0_(n) for all real matrices X of order of n xx n .

Prove that (1+x)^(n)>=(1+nx) for all natural number n,where x>-1

Prove that (1+x)^n ge1+n x , for all natural number 'n', where x gt-1 .

If ("lim")_(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is nonzero real number, the a is 0 (b) (n+1)/n (c) n (d) n+1/n

If ("lim")_(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is nonzero real number, the a is 0 (b) (n+1)/n (c) n (d) n+1/n