`I f1/(6!)+1/(7!)=X/(8!),t h e nx=` ,

If(1)/(6!)+(1)/(7!)=(X)/(8!), thenx =

1/(6i)+1/(7i)=x/(8i)

Show that f(x)={(x-|x|)/(2),2 w h e nx!=0i sd i s con t inuou sa tx=0dotw h e nx=0

If f(x)={(sin3x)/x,w h e nx!=0 1,w h e nx=0dot Find whether f(x) is continuous at x=0

Suppose that f is differentiable for all x and that f^(prime)(x)lt=2fora l lxdot If f(1)=2a n df(4)=8,t h e nf(2) has the value equal to 3 (b) 4 (c) 6 (d) 8

If f(x)=|(log)_(10)x|,t h e na tx=1 a. f(x) is continuous and f^(prime)(1)=(log)_(10)e b. f(x) is continuous and f^(prime)(1)=-(log)_(10)e c. f(x) is continuous and f^(prime)(1^-)=(log)_(10)e d. f(x) is continuous and f^(prime)(1^-)=-(log)_(10)e

If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

Statement 1: Greatest term in the expansion of (1+x)^(12),w h e nx=11//10 is 7th Statement 2: 7th term in the expansion of (1+x)^(12) has the factor ^12 C_6 which is greatest value of ^12 C_rdot

Let F (x) = f(x) + f ((1)/(x)), where f (x) = int _(1) ^(x ) (log t)/(1+t) dt. Then F (e) equals

Find the derivative of f(x)={(x-1)/(2x^2-7x+5)w h e nx!=1=1/3w h e nx=1a tx=1.