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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Evaluate the following limits, if necessary use l’Hôpital Rule: limx→x2secxtanx - Mathematics

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Question

Evaluate the following limits, if necessary use l’Hôpital Rule:

`lim_(x -> x/2) secx/tanx`

Sum

Solution

`lim_(x -> x/2) secx/tanx`  .......`[oo/oo  "Indeterminate form"]`

Simplifying, we get

`lim_(x -> x/2) 1/sinx`

= `1/(sin  pi/2)`

= 1

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Indeterminate Forms
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Chapter 7: Applications of Differential Calculus - Exercise 7.5 [Page 31]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 7 Applications of Differential Calculus
Exercise 7.5 | Q 4 | Page 31
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