functions and maclaurin series   1 a for the function f(X)=-LN(1-X) write first four non zero terms in the McLaurin series expansion of f(x) b Write one general term in the Maclaurin series expansion and the all maclauren series for the function f(x)=-LN(1-X) c Find the interval convergence and radws of the series convergence for the function f(x)=-LN(1-X)

functions and maclaurin series
 

1 a for the function f(X)=-LN(1-X) write first four non zero terms in the McLaurin series expansion of f(x)

b Write one general term in the Maclaurin series expansion and the all maclauren series for the function f(x)=-LN(1-X)

c Find the interval convergence and radws of the series convergence for the function f(x)=-LN(1-X). Consider the boundaries of the interval of convergence separately.

2 (a) Use implicit differentiation to find DY/DX for the function x+y=4 need to be defined implicity in terms of X. Find the equation of the largest line at point (x,y)=(4,4)
b. Sketch a graph of f(x) =x+1/x indicating natural domain of f, concavity, intersection with y and x arts, positivity and negativity of f, stationary point (if applicable) a symptomatic behavior a x goes to PWS-minus or one point of disconnectivity (if any) and whatever the function is odd or even or neither.