Removable & Non-Removable Discontinuity by Khoon Yu Tan

f(x)=sin x

khoonyu — 2015-09-14 14:00:33 UTC

khoonyu — 2015-09-14 14:01:34 UTC

No discontinuity

khoonyu — 2015-09-14 14:01:56 UTC

No condition fails

littlelewis98 — 2015-09-14 14:03:26 UTC

2)Non- removable Discontinuity at x=0

3)f(0)= dne

2015-09-14 14:03:34 UTC

f(x)=1/x

2.x=0 non-removable

3. lim x->0 DNE and f(0) dne

khoonyu — 2015-09-14 14:15:29 UTC

1) f(x)=tan(x)

2) Non-Removable @ x=k*pi/2, k=..., -3, -1, 1, 3, 5, ...

3) f(k*pi/2) dne and lim x-> k*pi/2 dne

khoonyu — 2015-09-14 14:18:42 UTC

1. f(x) = cos x

khoonyu — 2015-09-14 14:20:43 UTC

No discontinuity No condition fails

khoonyu — 2015-09-14 14:22:56 UTC

f(x)= (x+3)/(x^2-9)

x=3 - non-removable discontinuity

f(3)=dne and lim x->3 dne