Express the limits as definite integral. lim_(norm(p rarr 0))sum_(k=1)^n(1/c_k)Deltax_k, where P is a partition of[1,4]

sagnuhh 2020-10-20 Answered

Express the limits as definite integral.
limp0k=1n(1ck)Δxk,where P is a partition of[1,4]

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Expert Answer

Roosevelt Houghton
Answered 2020-10-21 Author has 106 answers
Step 1
Given
limp0k=1n(1ck)Δxk
Step 2
To express limits as a definite integrals.
The definition of definite integral is,
abf(x)dx=limni=1nf(xi)Δx
Here f(xk)=1ck
And p is a partition of [1,4],
Therefore,
limnk=1n(1ck)Δxk=14f(x)dx
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