f(x) - lim h-0 f(x + h) - f(x)/h, if f(x) = 1/x Use the definition of the derivative to determine if the function is differentiable at x = 0

Question

f(x) - lim h->0 f(x + h) - f(x)/h, if f(x) = 1/x Use the definition of the derivative to determine if the function is differentiable at x = 0

anonymous · Answer

A.	 f(x) is differentiable at x = 0.
B.	 f(x) is not differentiable at x = 0 because the function is not continuous at x = 0.
C.	 f(x) is not differentiable at x = 0 because the lim h->0 f(x +h) - f(x)/h  increases without bound at x = 0.
D.	 f(x) is not differentiable at x = 0 because the lim h->0 f(x +h) - f(x)/h at x = 0.

anonymous · Answer

@experimentX  @Preetha  @Luis_Rivera  can u help?

experimentx · Answer

the function is not differentiable at zero ... use the definition to find the derivative of 1/x ... then put x=0 and see what you get.

anonymous · Answer

ok i got B

experimentx · Answer

Both B and C applies.

anonymous · Answer

okay so which will be correct? i can't mark both

experimentx · Answer

mark B

anonymous · Answer

ok