Let $f (x) = {cos [x], x \geq 0 ∣ x ∣ + a, x < 0$ The find the value of $a,$ so that $(lim)_{x 0}$ $f (x)$ exists, where $[x]$ denotes the greatest integer function less than or equal to $x$ .

Views: 707 students

Found 3 tutors discussing this question

Levi Discussed

Let

f (x) = {cos [x], x \geq 0 ∣ x ∣ + a, x < 0

The find the value of

a,

so that

(lim)_{x 0}

f (x)

exists, where

[x]

denotes the greatest integer function less than or equal to

x

10 mins ago

Discuss this question LIVE

10 mins ago

Question Text

Let

f (x) = {cos [x], x \geq 0 ∣ x ∣ + a, x < 0

The find the value of

a,

so that

(lim)_{x 0}

f (x)

exists, where

[x]

denotes the greatest integer function less than or equal to

x

Filo tutor solution