Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) (a) lim tanh(x) (b) lim tanh(x) X - (c) lim sinh(x)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.)
(a)
lim tanh(x)
X → 00
1
lim tanh(x)
(b)
X > — о
(c)
lim sinh(x)
(d)
X → -0
lim sinh(x)
(e)
lim sech(x)
X → 00
lim coth(x)
(f)
X → 00
(g)
lim coth(x)
X → 0+
(h)
lim
coth(x).
Transcribed Image Text:Use the definitions of the hyperbolic functions to find each of the following limits. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) (a) lim tanh(x) X → 00 1 lim tanh(x) (b) X > — о (c) lim sinh(x) (d) X → -0 lim sinh(x) (e) lim sech(x) X → 00 lim coth(x) (f) X → 00 (g) lim coth(x) X → 0+ (h) lim coth(x).
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