diff --git a/tests/test_ajc.py b/tests/test_ajc.py
index 263b25b..fda5fca 100644
--- a/tests/test_ajc.py
+++ b/tests/test_ajc.py
@@ -4,13 +4,22 @@
 from scipy.linalg import expm
 
 
-def test_ajc():
+def test_ajc(n=20, tol=1e-2):
     Q = diffusion.DoubleWell().Q
-    a = ajcs.AJCS(np.repeat(Q, 10), np.repeat(0.1, 10))
+    ts = np.repeat(1/n, n)
+    a = ajcs.AJCS(np.repeat(Q, n), ts)
 
-    assert((expm(Q) - a.koopman() < .1).all())
+    assert np.isclose(expm(Q).todense(), a.koopman(), atol=tol).all()
 
     g = np.zeros((a.nt, a.nx))
     g[0, :] = np.nan
     g[1, 1] = 1
     a.space_time_committor(g)
+
+
+def test_limit(tol=1e-5):
+    Q = diffusion.DoubleWell().Q
+    a0 = ajcs.AJCS([Q, Q, Q], [0,1,0])
+    a1 = ajcs.AJCS([Q, Q, Q], [1e-10, 1, 1e-10])
+
+    assert np.isclose(a1.koopman(), a0.koopman(), atol=tol).all()