Estimate the limit by substituting smaller and smaller values of h. Give answers to one decimal place.
cosh-1/h=(cosh-cos0)/(h-0)= -sin(0)=0.
in fact we use the definition of the derivability of a function that is:
f '(x0)=lim x tend x0 (f(x)-f(x0))/(x-x0)
here cos'(x0)= -sin(x0)
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cosh-1/h=(cosh-cos0)/(h-0)= -sin(0)=0.
in fact we use the definition of the derivability of a function that is:
f '(x0)=lim x tend x0 (f(x)-f(x0))/(x-x0)
here cos'(x0)= -sin(x0)