Q20
(i) If f(x) =  

x2 - 25 / x - 5 , x ≠ 5

k,    x = 5

is continuous at x = 5, find the value of k.

(ii) Find the value of k so that the function :

kx + 1, if x≤5

3x-5,   if x>5

is continuous at x = 5.

(iii) For what value of k is the following function continuous at x = 2?

2x + 1,   x < 2

k ,         x = 2

3x - 1,   x > 2

(iv) Find the value of k so that the function f defined by

kx + 1, if x≤π

cosx,   if x>π

is continuous at x = π.

(v) For what value of k is the function
f(x) =  

tan 5x / sin 2x , x ≠ 0

k,    x = 0

is continuous at x = 0.

(vi) Find the value of the constant k so that the function

f(x) =  

1 - cos4x / 8x2 , x ≠ 0

k,    x = 0

is continuous at x = 0.

Solution

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