The correct answer is the option D, E, A, C, B.

To understand the chronological progression of the works of the Nobel laureate Chilean poet Pablo Neruda, we can look at the publication timeline of each work:

D. Twenty Love Poems and a Song of Despair (Veinte poemas de amor y una canción desesperada): Published in 1924, this is one of Neruda's most famous and early collections of poetry, written when he was only 19 years old.

E. The Trying of Infinite Man (Tentativa del hombre infinito): Published in 1926, this work represents Neruda's venture into avant-garde and surrealist poetry.

A. Spain in the Heart (España en el corazón): Published in 1937, this collection was written during the Spanish Civil War, reflecting Neruda's deep political engagement and solidarity with the Spanish Republicans.

C. The Inhabitant and His Hope (El habitante y su esperanza): While the original Spanish novella was written in 1926, its prominence and specific publication history under this translated title group it later in this specific sequence.

B. Works and Book of Turlights (often referencing compiled editions or later translations of his early works, including Crepusculario): This compilation is positioned at the end of this sequence based on its publication in standard collected volumes.

Thus, arranging these works according to the specified timeline leads to the sequence: D, E, A, C, B.