HSC Arts 12th Board ExamMaharashtra State Board
Share

# Examine the continuity of the function f(x) =sin x- cos x, for x ≠ 0 ,=- 1 ,for x=0 at the poinl x = 0 - HSC Arts 12th Board Exam - Mathematics and Statistics

#### Question

Examine the continuity of the function
f(x) =sin x- cos x, for x ≠ 0

=- 1 ,forx=0

at the poinl x = 0

#### Solution

f(0)=-1

and lim_(x->0)f(x)

=lim_(x->0)(sinx-cosx)=-1

therefore f(0)=lim_(x->0)f(x)

Hence f (x)  is continuous at x = 0

Is there an error in this question or solution?

#### APPEARS IN

2013-2014 (March) (with solutions)
Question 4.2.1 | 2.00 marks

#### Video TutorialsVIEW ALL [1]

Solution Examine the continuity of the function f(x) =sin x- cos x, for x ≠ 0 ,=- 1 ,for x=0 at the poinl x = 0 Concept: Introduction of Continuity.
S