1
answer
0
watching
71
views
6 Nov 2019
Consider the function f(x) = Squareroot l + x on the interval [0, infinity). We want to use the Maclaurin polynomial of this function to approximate Squareroot 5. (a) Compute the third degree Maclaurin polynomial P_3(x) of f. (b) Prove that 2P_3(l/4) - Squareroot 5 = 2R_3(l/4), where R_3 is the remainder term as in Taylors theorem. (c) Use Taylors theorem to prove that |2P_3(l/4) - Squareroot 5| Show transcribed image text Consider the function f(x) = Squareroot l + x on the interval [0, infinity). We want to use the Maclaurin polynomial of this function to approximate Squareroot 5. (a) Compute the third degree Maclaurin polynomial P_3(x) of f. (b) Prove that 2P_3(l/4) - Squareroot 5 = 2R_3(l/4), where R_3 is the remainder term as in Taylors theorem. (c) Use Taylors theorem to prove that |2P_3(l/4) - Squareroot 5| Comments
Consider the function f(x) = Squareroot l + x on the interval [0, infinity). We want to use the Maclaurin polynomial of this function to approximate Squareroot 5. (a) Compute the third degree Maclaurin polynomial P_3(x) of f. (b) Prove that 2P_3(l/4) - Squareroot 5 = 2R_3(l/4), where R_3 is the remainder term as in Taylors theorem. (c) Use Taylors theorem to prove that |2P_3(l/4) - Squareroot 5|
Show transcribed image text Consider the function f(x) = Squareroot l + x on the interval [0, infinity). We want to use the Maclaurin polynomial of this function to approximate Squareroot 5. (a) Compute the third degree Maclaurin polynomial P_3(x) of f. (b) Prove that 2P_3(l/4) - Squareroot 5 = 2R_3(l/4), where R_3 is the remainder term as in Taylors theorem. (c) Use Taylors theorem to prove that |2P_3(l/4) - Squareroot 5| Comments
1
answer
0
watching
71
views
For unlimited access to Homework Help, a Homework+ subscription is required.
Irving HeathcoteLv2
6 Nov 2019