A.I. Explanation:

Option 1: "By providing access to technology and digital literacy programs"

Explanation: The text clearly states that public libraries offer free access to computers, internet, and digital literacy programs, which directly addresses how they are meeting the needs of the digital age. This aligns with the main idea of the text, which emphasizes the role of libraries in making technology accessible to everyone.

Option 2: "By focusing solely on traditional book lending"

Explanation: This option is incorrect because the text highlights that libraries are evolving beyond traditional book lending to include technology access and digital literacy programs. Therefore, focusing solely on book lending does not reflect the comprehensive role libraries play in the digital age.

Option 3: "By charging for access to digital resources"

Explanation: This option contradicts the text, which states that libraries provide free access to digital resources. Charging for access would be contrary to the mission of public libraries as described in the text, which aims to make technology accessible to everyone.

Option 4: "By limiting community engagement and educational initiatives"

Explanation: This option is incorrect as it contradicts the text, which mentions that libraries host workshops and events that encourage community engagement and support educational initiatives. Limiting these activities would go against the role libraries are described as playing in fostering a culture of reading and information sharing.