Question

The values of a,b,c for which function may be continuous at x=0






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Answer 1

Step-by-step explanation:

f(0

−

)=

h→0

lim

−h

sin(a+1)(0−h)+sin(0−h)

=

h→0

lim

h

sin(a+1)h+sinh

=

h

(a+1)h+h

=a+2,[∵

θ→0

lim

sinθ=θ]

and f(0

+

)=

h→0

lim

bh

3/2

(h+bh

2

)

1/2

−h

1/2

=

h→0

lim

bh

(1+bh)

1/2

−1

=

h→0

lim

bh

1+

2

1

bh...−1

=

2

1

, which is independent of b and so b may have any real value.Again by continuity at x=0, we have a+2=

2

1

=c. ∴a=−

2

3

and c=

2

1

.

Answer 2

Answer:

f=(x) is continues at x=0/Again

Step-by-step explanation:

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