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E v a l u a t e space limit as x rightwards arrow 1 half of x s e c πx

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Asked by Topperlearning User 16th November 2016, 2:13 AM
Answered by Expert
Answer:

space limit as x rightwards arrow 1 half of x s e c πx
equals limit as x rightwards arrow 1 half of fraction numerator x over denominator cosπ x end fraction
equals limit as x rightwards arrow 1 half of fraction numerator x over denominator sin open parentheses begin display style straight pi over 2 end style minus πx close parentheses end fraction
equals limit as x rightwards arrow 1 half of fraction numerator straight pi over 2 minus πx over denominator sin open parentheses straight pi over 2 minus πx close parentheses end fraction limit as x rightwards arrow 1 half of fraction numerator x over denominator straight pi over 2 minus πx end fraction
equals limit as x rightwards arrow 1 half of fraction numerator x over denominator straight pi over 2 minus πx end fraction
T h i s space i s space o f space t h e space f o r m space 0 over 0 space s o space a p p l y i n g space L apostrophe H o s p i t a l s space r u l e space w e space g e t
limit as x rightwards arrow 1 half of fraction numerator 1 over denominator negative pi end fraction equals negative 1 over straight pi
space

Answered by Expert 16th November 2016, 4:13 AM
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