Is a Catalyst 2960 24 10/100 + 2T/SFP LAN Base Image a layer 2 switch. Does it have layer 3 routing capabilities like the 3560?
The Catalyst 2960 does not support Layer 3 routing. The documentation will be corrected.
Don't believe so, although Q&A (http://www.cisco.com/en/US/products/ps6406/products_qanda_item0900aecd80322c37.shtml) states ("high-performance routing"):
Q. What is the positioning of the Cisco Catalyst 2960 Series relative to the Cisco Catalyst 2950 Series?
A. The Cisco Catalyst 2960 Series provides Cisco intelligent switching and 10/100/1000 offerings. Both product families are designed for similar topological positions in the network, deploying networkwide intelligent services such as advanced QoS, rate limiting, ACLs, multicast management, and high-performance routing. In contrast to the Cisco Catalyst 2950 Series, the Cisco Catalyst 2960 Series offers 10/100/1000 models, as well as the flexibility of dual-purpose uplink options through SFP-based Gigabit Ethernet ports instead of gigabit interface converter (GBIC)-based ports.
table 7 has:
Support for Enhanced Interior Gateway Routing Protocol (EIGRP) IPv6 12.2(40)SE 3750, 3560, 2960