Engineering Mathematics – I
Unit 1Differential calculusa) Prove that
b) Show that
c) Prove that
d) Prove that
e) Show that
f) Expand 
in powers of (x – 3)g) Expand tan-1x in powers of (x – 1)h) Using Taylors theorem express,
in powers of xi) Expand 
in powers of (x – 2)j) Using Taylors theorem express
in ascending powers of x.
b) Show thatc) Prove thatd) Prove thate) Show thatf) Expand in powers of (x – 3)g) Expand tan-1x in powers of (x – 1)h) Using Taylors theorem express, in powers of xi) Expand in powers of (x – 2)j) Using Taylors theorem express in ascending powers of x. 
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