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Mathematics
Mathematics
Problem
Show that
lim
h
→
0
tan
(
x
+
h
)
−
tan
x
h
=
sec
2
x
\displaystyle \lim_{h\to 0}\frac{\tan(x+h)-\tan x}{h}=\sec^{2}x
h
→
0
lim
h
tan
(
x
+
h
)
−
tan
x
=
sec
2
x
for all
x
x
x
such that
cos
x
≠
0
\cos x\neq 0
cos
x
=
0
.
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