If limit lim_x rightarrow x_0 f(x) = A exists, then f(x_0) = a. When x is close

Question

If limit lim_x rightarrow x_0 f(x) = A exists, then f(x_0) = a. When x is close to x_0, f(x) will be very close to A. f(x_0) A. f(x) = A everywhere. If f(x) is continuous a t x_0, then f(x_0) is defined. Lim_x rightarrow x_0 f(x) exists. lim_x rightarrow x_0 f(x) = f(x_0). F'(x_0) exists. If f'(x_0) exists, then f(x_0) is defined. f(x) is continuous at x_0. f'(x_0) > 0. f'(x_0) 0 everywhere, what can you conclude from that about f(x)? the graph of f(x) is above the x-axis. f(x) is increasing everywhere f(x) is concave upward everywhere. f'(x) > 0 everywhere.

Explanation / Answer

(4) B

(5) C

(6) B

(7) A

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