Q.40 Prove that f(x)=x-xx, x≠0 2 , x=0 is discontinous at x=0.

Q.40 Prove that $f (x) = \{\begin{cases} \frac{x - |x|}{x}, x \neq 0 \\ 2, x = 0 \end{cases}$ is discontinous at x=0.

$f (x) = \{\begin{matrix} \frac{\sin (a + 1) x + \sin x}{x}, f o r x < 0 \\ x, f o r x = 0 \\ \frac{\sqrt{x + b x^{2}} - \sqrt{x}}{b x^{\frac{3}{2}}}, f o r x > 0 \end{matrix}$

Put the parts in order to form a sentence. When you think your answer is correct, click on "Check" to check your answer. If you get stuck, click on "Hint" to find out the next correct part.

Q.40 Prove that f(x)=x-xx, x≠0 2 , x=0 is discontinous at x=0.

f(x)=sina+1x+sinxx, for x<0x, for x=0x+bx2-xbx32, for x>0

Q.40 Prove that $f (x) = \{\begin{cases} \frac{x - |x|}{x}, x \neq 0 \\ 2, x = 0 \end{cases}$ is discontinous at x=0.

$f (x) = \{\begin{matrix} \frac{\sin (a + 1) x + \sin x}{x}, f o r x < 0 \\ x, f o r x = 0 \\ \frac{\sqrt{x + b x^{2}} - \sqrt{x}}{b x^{\frac{3}{2}}}, f o r x > 0 \end{matrix}$