Given below are two statements.
Statement $I$: Under unlimited resource conditions,every species is capable of growing exponentially.
Statement $II$: $A$ population growing in a habitat with limited resources initially shows a very slow rate of growth.
In the light of the above statements,choose the correct option.

• A
  Both statement $I$ and statement $II$ are correct.
• B
  Both statement $I$ and statement $II$ are incorrect.
• C
  Statement $I$ is correct but statement $II$ is incorrect.
• D
  Statement $I$ is incorrect but statement $II$ is correct.