Final answer:
The limit of sin(1/x) as x approaches 0 from the positive side does not exist because the sine function oscillates and does not approach a single value.
Step-by-step explanation:
The student is asking to evaluate the limit of sin(1/x) as x approaches 0 from the positive side (lim →₀+ sin(1/x)). This is an indeterminate form because as x approaches 0+, 1/x approaches infinity, and the sine function oscillates between -1 and 1. Therefore, the limit does not exist because the sine function does not approach a single value.
It's important to note that in certain contexts, such as in physics or engineering, approximations may be made when dealing with very large numbers, where certain functions may approach specific values (though this is distinct from the mathematical concept of limits).