Determine whether the following statements are true or false. If the statement is true, write T in the box provided under the statement. If the statement is false, write F in the box provided under the statement. Do not write \"true\" or \"false\". (3.) _ The exponential function f (m) 2 ex is invertible with inverse 9(3) = ln(:z:). (b) _ L'Hopitals's rule can be used to compute the limit Emma.) . (c) _ Since trigonometric fimctions are periodic then inverse trigonometric functions are periodic. (d) _ Let p{:r:) and q(:1:) be non-zero polynomials. Then we can use Integration by Parts on f 2%; by setting 11. = p(:,:) and 9' = 17)- (e) _ Let 19(3) be a nonzero polynomial of degree strictly less than 4. We have the partial fraction decomposition 34 m} A for some real 532 +4 (m 1 (3+1) (at2) (3+2) numbers A, B, C, D. Then A, B, C, D are a non-zero. (f) _ We have L11 % = 0. (g) _ Let f (as) be an innitely differentiable function on the interval [0, b]. Then the arc lenght of f (11:) over [(1, b] is nite. (h) _ The Root Test can always be used to determine whether an innite series converges or diverges. (i) _ Let F($) be a power series. Then the radius of convergence of F(q:) can be negative. (j) _ Let an) be an innitely differentiable function. Let F(a:) be the Maclaurin series of f(:1:). If we remove all the terms of degree strictly higher than n we then obtain Tn (:12) the nth Maclaurin polynomial of f (cc)