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Error Analysis

The results for x=10 are shown in the Table

h e^{h}+e^{-h} e^{h}+e^{-h}-2
10^{-1} 2.0100083361116070 1.0008336111607230\times 10^{-2}
10^{-2} 2.0001000008333358 1.0000083333605581\times 10^{-4}
10^{-3} 2.0000010000000836 1.0000000834065048\times 10^{-6}
10^{-5} 2.0000000099999999 1.0000000050247593\times 10^{-8}
10^{-5} 2.0000000001000000 9.9999897251734637\times 10^{-11}
10^{-6} 2.0000000000010001 9.9997787827987850\times 10^{-13}
10^{-7} 2.0000000000000098 9.9920072216264089\times 10^{-15}
10^{-8} 2.0000000000000000 0.0000000000000000\times 10^{0}
10^{-9} 2.0000000000000000 1.1102230246251565\times 10^{-16}
10^{-10} 2.0000000000000000 0.0000000000000000\times 10^{0}