Assignment Math 2.pdf
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SILIGURI INSTITUTE OF TECHNOLOGY ASSIGNMENT 1 1. Expand 2. Expand
using Maclaurin’s theorem. in the power of
[hint: put
]
3. Show that Lagrange Mean Value theorem is not applicable to the function
4. If
,
discuss the applicability of the
Mean value Theorem
Find
the theorem is applicable. 5. Verify Rolle’s theorem for the following function (a) (b) (c) (d)
in [-1,1] in [-1,1] in
(e) 6. Prove the following inequality (a) (b) (c)
for for <1 for any
LAST DATE OF SUBMISSION IS 14.08.2018
if
using Maclaurin’s theorem. in the power of
[hint: put
]
3. Show that Lagrange Mean Value theorem is not applicable to the function
4. If
,
discuss the applicability of the
Mean value Theorem
Find
the theorem is applicable. 5. Verify Rolle’s theorem for the following function (a) (b) (c) (d)
in [-1,1] in [-1,1] in
(e) 6. Prove the following inequality (a) (b) (c)
for for <1 for any
LAST DATE OF SUBMISSION IS 14.08.2018
if
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