Question
Question: At the point x = 1, the function f(x) =\(\lim_{x \rightarrow \infty}\) is:...
At the point x = 1, the function f(x) =limx→∞ is:
A
Continuous and differentiable
B
Continuous and not differentiable
C
Discontinuous and differentiable
D
Discontinuous and not differentiable
Answer
Continuous and not differentiable
Explanation
Solution
f(x) = 
continuous
f ′(1 + x) = 3x2 f ′(1 – h) = 1
at x = 1 = 1
not differentiable.