Whats the difference between (1) lim h- 0 sin(1/h) (2) lim h- 0 sin(-1/h) Arent both these one and the - Maths - Continuity and Differentiability

Question

Whats the difference between
(1) lim h->0 sin(1/h)
(2) lim h->0 sin(-1/h)
Arent both these one and the same thing???

Aarushi Mishra · Accepted Answer

No they are not the same thing although both does not exislimh→0sin-1h=limh→0-sin1h=-limh→0sin1hTherefore limh→0sin-1h=-limh→0sin1hNote: Both does not exist as h tends to zero 1h tends to ∞, and sin of ∞ is not known to us or cannot be determined

Whats the difference between (1) lim h->0 sin(1/h) (2) lim h->0 sin(-1/h) Arent both these one and the same thing???

Whats the difference between
(1) lim h->0 sin(1/h)
(2) lim h->0 sin(-1/h)
Arent both these one and the same thing???