Explanation

Creating a filter: the original sentence has a defect. Namely, the company is making a claim, and the claim is introduced by the word "that," but the detail about getting access to the database is part of the claim, so it should be inside the clause starting with "that." So (A) is out. We can filter for answer choices that properly express the claim of the company.

Applying the filter: the other answer choices differ in how they start. After "claims," there are a few valid possibilities. First, we can get the word "that," with a statement inside it representing the claim. Second, the word "that" can be elided, and we still can get the claim as a complete sentence; in such a case, the first word might be "it," as in, "the company claims it can provide all sorts of analysis." There is another valid possibility, which is represented by (D): to compact the content of the claim into an infinitive. (D) is correct. Additional objective defects in the other answers are the following. In (B), "ability of providing" is not proper idiom. In (C), "capability of providing" is similarly wrong, and the meaning is distorted in saying the company "claims this capability"; it sounds like they are seizing an object. And (E) uses the gerund "being" unnecessarily. The correct answer is (D).