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Tamil Nadu Board of Secondary EducationHSC Science Class 11

In exercise problems 7 – 15, use the graph to find the limits (if it exists). If the limit does not exist, explain why? limx→x2tanx - Mathematics

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Question

In exercise problems 7 – 15, use the graph to find the limits (if it exists). If the limit does not exist, explain why?

`lim_(x -> x/2) tan x`

Graph

Solution

`lim_(x -> x/2) tan x`

y = f(x) = sec x

From the graph at x = `pi/2`, the curve does not intersect the line x = `pi/2`

At x = `pi/2`, he value of the function y = f(x) does not exist.

Hence `lim_(x -> x/2) tan x` does not exist.

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Concept of Limits
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Chapter 9: Differential Calculus - Limits and Continuity - Exercise 9.1 [Page 97]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 9 Differential Calculus - Limits and Continuity
Exercise 9.1 | Q 15 | Page 97

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