CONTINUITY AND DIFFERENTIABILITY (GAISSS)

continuous at x = 0 as well as at x = 1.

continuous at x = 1 but not at x = 0.

discontinuous at x = 0 as well as at x = 1.

continuous at x = 0 but not at x = 1.

 $f(x)+g(x)$  

 $f(x)-g(x)$  

 $f(x).g(x)$  

 $\frac{f(x)}{g(x)}$  

 $discontinuous\ at\ only\ one\ point\ at\ x=0$  

 $discontinuous\ at\ exactly\ two\ points$  

 $discontinuous\ at\ exactly\ three\ points$  

 $continuous\ everywhere$  

 $2\cot x^3$  

 $-2\cot x^3\operatorname{cosec}^2x^3$  

 $-6x^2\operatorname{cosec}^2x^3.\cot x^3$  

 $-6x^2\operatorname{cosec}^2x^3.$  

yes

no

a = 2, b = 1

a = 1, b = 2

a = 1, b = 3

a = 3, b = 1

$\frac{1}{1+x^2}$

$\frac{2}{1+x^2}$

$\frac{3}{1+x^2}$

$\frac{4}{1+x^2}$

 $\sin\theta$  

 $\cos\theta$  

 $\tan\theta$  

 $\cot\theta$  

 $120x^{19}$  

 $120x^{18}$  

 $380\ x^{18}$  

 $380\ x^{19}$  

 $\frac{\cos x}{e^{\cos\ x}}$  

 $-\frac{2\cos x}{e^{\cos x}}$  

 $\frac{2\cos2x}{e^{\cos x}}$  

 $-\frac{2\cos2x}{e^{\cos x}}$