Q.36C In each of the following, find the value of the constant k so that the given function is continuous at the indicated point : f(x)=kx2-2x , if x<0cosx , if x≥0 at x=0.

Q.36C In each of the following, find the value of the constant k so that the given function is continuous at the indicated point : $f (x) = \{\begin{cases} k (x^{2} - 2 x), i f x < 0 \\ \cos x, i f x \geq 0 \end{cases}$ 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.36C In each of the following, find the value of the constant k so that the given function is continuous at the indicated point : f(x)=kx2-2x , if x<0cosx , if x≥0 at x=0.

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

Q.36C In each of the following, find the value of the constant k so that the given function is continuous at the indicated point : $f (x) = \{\begin{cases} k (x^{2} - 2 x), i f x < 0 \\ \cos x, i f x \geq 0 \end{cases}$ at x=0.

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